Question

USLUIT il
Find x.
45°
30°

Answer 1

111°

Explanation:

• All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.

• Ignore the line cutting between 45° and the 30° and consider it as one triangle
• Add them to get 75°
• Now you have two known angles 75° and 36°
• To get angle x add 75° and 36° to get 111°
• Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.