410,880 views
42 votes
42 votes
The angles in a

quadrilateral are in the
ratio 3:2:2:5
What is the size of the
biggest angle?

User Muhammad Yaseen
by
3.0k points

1 Answer

18 votes
18 votes

Answer:

150°

Explanation:

The sum of the angles in a quadrilateral = 360°

Divide by the sum of the parts of the ratios to find the value of one part of the ratio.

sum of parts , 3 + 2 + 2 + 5 = 12 parts

360° ÷ 12 = 30° ← value of 1 part of the ratio , then

3 parts = 3 × 30° = 90°

2 parts = 2 × 30° = 60°

5 parts = 5 × 30° = 150°

The largest angle in the quadrilateral is 150°

User Nomis
by
3.2k points