Question

Two angles are complementary. They have measures of (7x + 2)° and (3x – 2)°, respectively. What is the value of x?

Answer 1

$7x+2+3x-2=90\\ 10x=90\\ x=9$

Answer 2

Answer:

Option (c) is correct.

The value of x is 9.

Step-by-step explanation:

Given :  Two angles are complementary. They have measures of (7x + 2)° and (3x – 2)°, respectively.

We have to find the value of x.

Two angles are said to be complementary if the sum of measure of angle is 90°.

Given (7x + 2)° and (3x – 2)° are complementary angles.

That is sum of (7x + 2)° and (3x – 2)° is 90°

⇒ (7x + 2)° + (3x – 2)° = 90°

⇒ 7x + 2 + 3x - 2 = 90

⇒ 10x = 90

⇒ x = 9

Thus, the value of x is 9.

Hence, option (c) is correct.