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

150°

Step-by-step 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°

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: