CPM Homework Help : MC1 Problem 8-66

Two angles whose measurements give a sum of $180°$ are called supplementary angles. Two angles whose measurements give a sum of $90°$ are called complementary angles. Use the definitions of complementary and supplementary angles to determine the value of each variable in the following figures. Do not use a protractor.

Hint (a):
$37°$ and $a$ are complementary angles. Their sum is $90°$ .
Answer (a):
$90° − 37° = 53°$

Hint (b):
$95°$ and $b$ are supplementary angles. Their sum is $180°$ .