Question

I need to know how to find the measure of angle QRS from this diagram.

Answer 1

In the triangle shown, two angles are shown and these are angle 4y and angle y.

The third angle lies along line segment RS. On line segment RS at point R, the third angle added to angle 145 sums up to 180 degrees (sum of angles on a straight line).

Hence,

`\begin{gathered} \measuredangle QRS+145=180 \\ Subtract\text{ 145 from both sides} \\ \measuredangle QRS=180-145 \\ \measuredangle QRS=35 \end{gathered}`

Angle QRS = 35