Question

If mQOS=52​, mPOR​=62, and mPOQ=29​, what is m​ROS?

Answer 1

To find the measure of angle ROS (mROS), you can use the Angle Sum Theorem for triangles. In triangle POQ, the sum of the angles is 180 degrees.

mPOR + mPOQ + mROQ = 180

Given that mPOR = 62 and mPOQ = 29, you can solve for mROQ:

62 + 29 + mROQ = 180

91 + mROQ = 180

Subtract 91 from both sides:

mROQ = 180 - 91

mROS = 89

So, the measure of angle ROS (mROS) is 89 degrees.