In the figure at the right, $\ell \| m$ and $k$ is a transversal. If $m \angle 1=56^{\circ},$ find the measure of each angle.

$$\angle 2$$

Anna J.

Numerade Educator

In the figure at the right, $\ell \| m$ and $k$ is a transversal. If $m \angle 1=56^{\circ},$ find the measure of each angle.

$$\angle 3$$

Anna J.

Numerade Educator

In the figure at the right, $\ell \| m$ and $k$ is a transversal. If $m \angle 1=56^{\circ},$ find the measure of each angle.

$$\angle 4$$

Anna J.

Numerade Educator

If $m \angle N=3 x$ and $m \angle M=2 x$ and $\angle M$ and $\angle N$ are supplementary, what is the measure of each angle?

Anna J.

Numerade Educator

In the figure at the right, $g \| h$ and $t$ is a transversal. If $m \angle 4=53^{\circ},$ find the measure of each angle.

$$\angle 1$$

Anna J.

Numerade Educator

In the figure at the right, $g \| h$ and $t$ is a transversal. If $m \angle 4=53^{\circ},$ find the measure of each angle.

$$\angle 5$$

Anna J.

Numerade Educator

In the figure at the right, $g \| h$ and $t$ is a transversal. If $m \angle 4=53^{\circ},$ find the measure of each angle.

$$\angle 7$$

Anna J.

Numerade Educator

In the figure at the right, $g \| h$ and $t$ is a transversal. If $m \angle 4=53^{\circ},$ find the measure of each angle.

$$\angle 8$$

Anna J.

Numerade Educator

In the figure at the right, $g \| h$ and $t$ is a transversal. If $m \angle 4=53^{\circ},$ find the measure of each angle.

$$\angle 2$$

Anna J.

Numerade Educator

In the figure at the right, $g \| h$ and $t$ is a transversal. If $m \angle 4=53^{\circ},$ find the measure of each angle.

$$\angle 3$$

Anna J.

Numerade Educator

Find $m \angle A$ if $m \angle B=17^{\circ}$ and $\angle A$ and $\angle B$ are complementary.

Anna J.

Numerade Educator

Angles $P$ and $Q$ are supplementary. Find $m \angle P$ if $m \angle Q=139^{\circ} .$

Anna J.

Numerade Educator

Angles $J$ and $K$ are complementary. If $m \angle J=x-9$ and $m \angle K=x+5,$ what is the measure of each angle?

Anna J.

Numerade Educator

Find $m \angle E$ if $\angle E$ and $\angle F$ are supplementary, $m \angle E=2 x+15,$ and $m \angle F=5 x-38$.

Anna J.

Numerade Educator

ALGEBRA In the figure at the right, $m \| \ell$ and $t$ is a transversal. Find the value of $x$ for each of the following.

(FIGURE NOT COPY)

$$m \angle 2=2 x+3 \text { and } m \angle 4=4 x-7$$

Anna J.

Numerade Educator

ALGEBRA In the figure at the right, $m \| \ell$ and $t$ is a transversal. Find the value of $x$ for each of the following.

(FIGURE NOT COPY)

$$m \angle 8=4 x-32 \text { and } m \angle 5=5 x+50$$

Anna J.

Numerade Educator

To measure the angle between a sloped cathedral ceiling and a wall, a carpenter uses a plumb line (a string with a weight attached) as shown. If $m \angle Y X B=68^{\circ},$ what is $m \angle X B C ?$ Explain your reasoning.

Anna J.

Numerade Educator

The measure of the supplement of an angle is $15^{\circ}$ less than four times the measure of the complement. Find the measure of the angle.

Anna J.

Numerade Educator

Use the clock showing 6 o'clock and 10 seconds.

Find $m \angle W X Y$ and $m \angle Y X Z$

Anna J.

Numerade Educator

Use the clock showing 6 o'clock and 10 seconds.

Find the time that will show $m \angle W X Y+m \angle Y X Z=90^{\circ}$

Anna J.

Numerade Educator

Angles $R$ and $S$ are complementary. The ratio of their measures is 4:5. Find the measure of each angle.

Anna J.

Numerade Educator

Use the graphs.

(GRAPH NOT COPY)

How are each pair of graphs related?

Anna J.

Numerade Educator

Use the graphs.

(GRAPH NOT COPY)

What seems to be true about the slopes of the graphs?

Anna J.

Numerade Educator

Use the graphs.

(GRAPH NOT COPY)

MAKE A CONIECTURE about the slopes of the graphs of perpendicular lines.

Anna J.

Numerade Educator

Use the graphs.

(GRAPH NOT COPY)

OPEN ENDED Draw a pair of adjacent, supplementary angles.

Anna J.

Numerade Educator

Use the graphs.

(GRAPH NOT COPY)

CHALLENGE Suppose two parallel lines are cut by a transversal. How are the interior angles on the same side of the transversal related?

Anna J.

Numerade Educator

Use the graphs.

(GRAPH NOT COPY)

Writing in Math How are parallel lines and angles related? Illustrate with a drawing of parallel lines intersected by a transversal and a list of the congruent and supplementary angles.

Anna J.

Numerade Educator

The hedge shears have two different sets of angles. Find $x$

A 32

B 58

C 102

D $121$

(FIGURE NOT COPY)

Anna J.

Numerade Educator

Which angles are NOT supplementary?

$\mathbf{F} \angle E Z C, \angle C Z A \quad \mathbf{H} \quad \angle A Z B, \angle B Z E$ $\mathbf{G} \angle B Z C, \angle C Z D \quad \mathbf{J} \quad \angle D Z E, \angle A Z D$

(FIGURE NOT COPY)

Anna J.

Numerade Educator

At the same time a 40 -foot silo casts a 22 -foot shadow, a fence casts a $3.3 \text {

foot shadow. Find the height of the fence. (lesson } 9.6)$

Anna J.

Numerade Educator

Two artifacts are found at a dig. If a coordinate plane is set up, one artifact was found at $(1,5)$ and the other artifact was found at $(3,1)$ How far apart were the two artifacts? Round to the nearest tenth. (lesson 9.5 )

Anna J.

Numerade Educator

Use a protractor to draw an angle having each measurement. (pp $757-788$ )

$$20^{\circ}$$

Anna J.

Numerade Educator

Use a protractor to draw an angle having each measurement. (pp. $757-758$ )

$$45^{\circ}$$

Anna J.

Numerade Educator

Use a protractor to draw an angle having each measurement. (pp. $757-758$ )

$$65^{\circ}$$

Anna J.

Numerade Educator

Use a protractor to draw an angle having each measurement. (pp. $757-758$ )

$$145^{\circ}$$

Anna J.

Numerade Educator

Use a protractor to draw an angle having each measurement. (pp. $757-758$ )

$$170^{\circ}$$

Anna J.

Numerade Educator