Question

the angles of a quadrilateral are in the ratio 3:6:8:13, then the difference of the degree measure of the largest angle and the smallest angle is​

Answer 1

Answer :-

Put x in the ratio

According to question :-

3x + 6x + 8x + 13x = 360

→ 30x = 360

→ x = 360/30

→ x = 12

• 3x = 3 × 12 = 36°
• 6x = 6 × 12 = 72°
• 8x = 8 × 12 = 96°
• 13x = 13 × 12 = 156°

Difference between largest and smallest angle is :-

156 - 36 = 120°