Question

A side of the triangle below has been extended to form an exterior angle of 126° Find the value of x.

Answer 1

Neighbor angles sum = 180°

Internal + external angle = 180°

Internal angle= 180 - 126 = 54°

Now, apply

sum of 3 internal angles = 180°

x ° + 54° + 90° = 180°

x° = 180° - 90° - 54° = 180° - 144° = 36°

answer is

x° = 36°

or

x= 36 degrees