Question

24-Find the measure of ∠m.A.∠m = 136°B.∠m = 126°C.∠m = 54°D.∠m = 90°

Answer 1

To solve this problem we need to use the triangle sum theorem. It states that the sum of the interior angles of a triangle is 180. We also know that the sum of the angle m and the unknown interior angle (angle C) is 180. Using this information we can conclude that the sum of the known interior angles (angles A and B) and m are both the same. It means that angle m is the sum of 36 and 90:

`\begin{gathered} \measuredangle A+\measuredangle B=\measuredangle m \\ 90+36=\measuredangle m \\ \measuredangle m=126 \end{gathered}`

The answer is B.