Question

Find x and find unknown angle measure. Please hellppppppp

Answer 1

Answers:

x = 13

Question mark angle is 64 degrees

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Explanation:

Let y be the angle labeled as a question mark.

This angle y is adjacent to the exterior angle of measure 116 degrees

This means y and 116 must add to 180 to form a straight angle

y+116 = 180

y = 180-116

y = 64

So 64 degrees will replace the question mark.

Then we can find the angle x. Recall that all angles of a triangle add to 180

90+2x+y = 180

90+2x+64 = 180

2x+154 = 180

2x = 180-154

2x = 26

x = 26/2

x = 13

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Alternatively, you can find x through the remote interior angle theorem

The interior angles 90 and 2x add to the exterior angle 116

90+2x = 116

2x = 116-90

2x = 26

x = 26/2

x = 13

This method doesn't involve angle y.