Question

Please help me find measure of x!

Answer 1

71 degrees

Explanation:

Hi there!

1. Find ∠DBH (using the sum of interior angles in a triangle)

1. Find ∠x (180-∠DHB)

Triangle DBH

The sum of all the interior angles in a triangle is equal to 180 degrees. Knowing this, we can solve for ∠DHB by subtracting 31 and 40 from 180:

180-31-40 = 109

Therefore, ∠DHB is 109 degrees.

Angle x

Because ∠x and ∠DHB make a straight angle, to find ∠x, we just have to subtract 109 from 180:

180-109 = 71

Therefore, x is 71 degrees.

I hope this helps!