Question

select the correct answer. the sum of two complementary angles is 90°. for one pair of complementary angles, the measure of the first angle is 15 less than twice the measure of the second angle. write a system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b. a. a + b = 90 a - 2b = 15 b. a + b = 90 2b + 15 = a c. a + b = 90 2b - 15 = a d. a + b = 90 2a - 15 = b

Explanation:

Step1: Define complementary - angle relationship

Since the sum of two complementary angles is 90°, we have the equation $a + b=90$.

Step2: Translate the second - condition into an equation

The measure of the first angle $a$ is 15 less than twice the measure of the second angle $b$. Twice the measure of the second angle is $2b$, and 15 less than that is $2b - 15$. So, $a=2b - 15$.

Answer:

C. $a + b = 90$, $2b - 15 = a$