Question

1. complementary angles are two angles whose measures have a sum of 90°. each angle is said to be the complement of the other angle. the measure of angle a is 1/2 of the measure of its complement. find the measure of angle a and its complement. measure of angle a = __________ compliment of angle a = ______

Explanation:

Step1: Let measure of angle A be $a$. Its complement is $2a$.

Set up equation $a + 2a=90$.

Step2: Combine like - terms.

$3a = 90$.

Step3: Solve for $a$.

$a=\frac{90}{3}=30$.

Answer:

Measure of angle A = $30^{\circ}$
Complement of angle A = $60^{\circ}$