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°.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi