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

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

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