I. Name an angle or angle pair that satisfies each condition.
1. two adjacent angles $BLA$, $CHGE$
2. two obtuse vertical angles $LCFE$, $CDEP$
3. two complementary nonadjacent angles $LAEB$, $LLBF$
4. a linear pair whose vertex is F $<BFC$, $CBFE$
5. an angle supplementary to $<CBF$ $CBFE$
II. Find the value of each variable.
6.
$120^\circ$
7.
8.
$(2x)^\circ$ $(4x+108)^\circ$
$(2x+25)^\circ$ $(3x-10)^\circ$
$(2x-10)^\circ$
9.
10.
11.
$(3x)^\circ$ $(8y-102)^\circ$
$(5x+4)^\circ$ $(7x-248)^\circ$
$(3x-24)^\circ$
$(2y+6)^\circ$
$(5y-17)^\circ$ $(x+44)^\circ$
$114^\circ$ $(2y)^\circ$
12. $<E$ and $<F$ are supplementary. The measure of $<E$ is 54 more than the measure of $<F$.
Find the measures of each angle.
13. The measure of an angle's supplement is 76 less than the measure of the angle. Find
the measure of the angle and its supplement.
14. The measure of the supplement of an angle is 40 more than two times the measure of
the complement of the angle. Find the measure of the angle.
15. $<3$ and $<4$ form a linear pair. The measure of $<3$ is four more than three times the
measure of $<4$. Find the measure of each angle.
