Question

Work out the size of angle x.
X
38°
101°

Answer 1

117

Explanation:

the second angle in triangle is 180-101=79. after that you add 79+38 and than substract this from 180to get the last angle inside the triangle. it is 63. you than substract that from 180 and you get 117

Answer 2

x = 117°

Explanation:

the angle on the lower right of the triangle and 101° are a linear pair and sum to 180° , that is

angle + 101° = 180° ( subtract 101° from both sides )

angle = 79°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 79° + 38° = 117°