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

(2x) degree
28 degree

If ROQ and ROS are complementary angles, then their sum must be equal to 90 degrees.

So, we have the equation (2x) + 28 = 90.

Subtracting 28 from both sides gives us 2x = 62.

Dividing both sides by 2 gives us x = 31.

So the value of x is 31.

To find the measure of angle ROS, we substitute the value of x back into the equation:

mROS = 2x = 2(31) = 62 degrees.

Therefore, the value of x is 31 and the measure of angle ROS is 62 degrees.