Question

If m<2 = 137 and m< P = 22, what is m < o?

Answer 1

To find:

The measure of angle O.

Solution:

It is given that angle 2 = 137 and angle P = 22.

From the figure, it is clear that angle 2 is the exterior angle of the triangle.

It is known that the exterior angle is equal to the sum of two interior angles. So,

`\begin{gathered} \angle2=\angle P+\angle O \\ 137=22+\angle O \\ \angle O=137-22 \\ \angle O=115 \end{gathered}`

Thus, the angle O = 115. The option D is correct.