Answer:
Option (c) is correct.
The value of x is 9.
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.