Question

A quadrilateral has two angles that measure 200° and 110°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answer 1

20° and 30°

Explanation:

the sum of the 4 angles in a quadrilateral = 360°

given 2 angles are 200° and 110° , then remaining 2 angles sum to

360° - 200° - 110° = 360° - 310° = 50°

sum the parts of the ratio, 2 + 3 = 5 parts , then

1 part = 50° ÷ 5 = 10° , so

2 parts = 2 × 10° = 20°

3 parts = 3 × 10° = 30°

the two angles are 20° and 30°