Question

Find the measure of each angle indicated. what's the answer?

Answer 1

The unknown angle is 31°

Answer 2

Answer: The required measure of the indicated angle is 31°.

Step-by-step explanation: We are given to find the measure of the indicated angle in the figure.

Let the measure of the indicated angle be x°.

From the figure, we see that there are two triangles. The measures of the two angles of one triangle are 52° and 49°.

And, the measure of one of the angles of the second triangle is 70°.

The third angle of both the triangles are vertically opposite to each other, so they must be equal.

Since the sum of the three angles of any triangle is 180°, so we must have

`52^\circ+49^\circ=70^\circ+x^\circ\\\\\Rightarrow 52+49=70+x\\\\\Rightarrow 101=70+x\\\\\Rightarrow x=101-70\\\\\Rightarrow x=31.`

Thus, the required measure of the indicated angle is 31°.