Question

If ∠ROQ and ∠ROS are complementary angles, then what is the value of x and m∠ROS?

A.
x = 28; m∠ROS = 60°
B.
x = 31; m∠ROS = 62°
C.
x = 62; m∠ROS = 31°
D.
x = 60; m∠ROS = 28°

Answer 1

B. x = 31; m∠ROS = 62°

Explanation:

Complementary angles add to 90

∠ROQ + ∠ROS = 90

28+2x = 90

Subtract 28 from each side

2x = 90-28

2x=62

Divide by 2

2x/2 = 62/2

x = 31

∠ROQ =28

∠ROS = 2x=2*31 = 62