Question

if the four angles of a quadrilateral are in the ratio of 3 : 5 : 6 : 10. find the difference between the larger angle and smaller angle.

Answer 1

difference = 105°

Explanation:

the sum of the interior angles in a quadrilateral is 360°

sum the parts of the ratio , 3 + 5 + 6 + 10 = 24 parts

divide 360° by 24 to find the value of one part of the ratio

360° ÷ 24 = 15° ← value of 1 part of the ratio

smallest angle is 3 parts = 3 × 15° = 45°

largest angle is 10 parts = 10 × 15° = 150°

difference between largest and smallest = 150° - 45° = 105°