60.5k views
2 votes
An angle measures 64° less than the measure of a complementary angle. What is the measure of each angle?

User Lex
by
7.7k points

1 Answer

4 votes
Given:
Two complementary angles,
for an instance, a is the first angle and b is the second angle
a = b - 64

Solution:
If we add the complementary angles together, the result will be 90°. In algebraic expression, we could write it as:
a + b = 90°

Substitute b - 64 in a to solve the measurement of a
a + b = 90
(b - 64) + b = 90
2b - 64 = 90
2b = 90 + 64
2b = 154
b = 77

Find the measurement of a, by substitution the value of b, that is 77
a = b - 64
a = 77 - 64
a = 13

The measure of angles
a = 77°
b = 13°
User Iferminm
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories