Question

Angle of Triangle ( x )

Answer 1

117º

Explanation:

The angle measure of a line is 180º, so the measure of the angle next to the one with measure 101º is 180-101=79º.

The Exterior Angle Theorem says that an exterior angle (like x) is equal to the sum of the opposite interior angles. So, x=38+79=117º.

Answer 2

117°

Explanation:

The angle in the bottom left is 180 - 101 = 79°; straight angle is supplementary

79° + 38° = 117°; 2 angles combined opposite from exterior angle is equal to the ext angle