Question

13 The angles in a quadrilateral are in the ratio 3:6:7:2 Work out the size of the largest angle in this quadrilateral.​

Answer 1

140°

Explanation:

Sum of interior angles for a quadrilateral = 360°

3 : 6 : 7 : 2 = 3+6+7+2 = 18

So the total of the ratios is 18 and to total of the angles is 360, use proportion to find the answer.

(I'll add x into this for solving purposes.)

18 x = 360

x = 20

Largest angle = 7x = 7 × 20 = 140°

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