Two angles are said to be complementary if the sum of the measures of their angles is 90 degrees

Two angles are said to be complementary if the sum of the...

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Complementary Angles

This concept refers to two angles whose measures add up to 90 degrees. It is a fundamental concept in geometry that is often used to establish relationships between angle measurements, especially in problems involving right angles or configurations derived from them.

Translating Verbal Statements into Algebraic Equations

In many math problems, a verbal description of a relationship is provided, which must be transformed into an algebraic equation. This skill is essential for interpreting word problems accurately and setting up equations that represent the given conditions.

Solving Single-Variable Linear Equations

Once an algebraic equation has been formed, the next step is to solve for the unknown variable. This involves isolating the variable using operations such as addition, subtraction, multiplication, or division, a fundamental process in algebra that applies to a wide range of problems.

Transcript

00:01 In this following equation, we're going to use, again, a linear equation because the unknown that we're looking for is only raised up to the power of one.

00:09 We're going to use the fact that addition and subtraction will undo each other, and multiplication and division will also undo each other.

00:17 So we know that two angles are complementary if they add up to 90 degrees.

00:22 So in this question, we're trying to find the measurement between two angles.

00:27 We're trying to find a smaller angle and a bigger angle.

00:31 And we know that one of the angles is 15 degrees more than twice the other.

00:38 So we know for sure.

00:40 The first thing we know is that 8 plus b, our two angles, are going to equal 90 degrees.

00:49 And we also know that one of the angles is 15 degrees more than twice the other.

00:56 So we could just take either one, a equals 15 degrees more than twice the other.

01:06 So that's 2b more than twice, well twice the other plus 15 because it's more than.

01:16 Now with these two, these two equations right here we could solve for either a or b.

01:24 We'll solve for b first.

01:26 I will do this by plugging in our a value right here, 2b plus 15, into this original equation.

01:35 So we're going to replace a with 2b plus 15...

Please give Ace some feedback