Question

Instructions: Find the measure of the indicated angle to the
nearest degree

Answer 1

I would think it is 45° (Sorry if it turns out I'm wrong)

Explanation:

We know that one corner is already 90 degrees so we can take 180 and subtract 90 from it which gets us 90. The other two angles are equal so we take 90 and divide it by 2. This gets us 45°.

Answer 2

? = 46

Explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin ? = 38 / 53

Take the inverse sin of each side

sin ^-1 ( sin ?) = sin ^-1 ( 38/53)

? = sin ^-1 ( 38/53)

? =45.80579628

To the nearest degree

? = 46