Question

The angles of a quadrilateral are in the ratio 2:3:4:6.find the measure of each of the four angles

Answer 1

Answer:

The angles are 48°,72°,96°and144°

Step-by-step explanation:

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Answer 2

The ratio of the angles is 2:3:4:6

To find: The measures of each angle.

Observe that 2+3+4+6=15.

Thus 15 parts accounts for 360⁰

Hence, 15 parts = 360⁰

2 parts = ( 360⁰/15)× 2 = 48⁰

3 parts = (360⁰/15)× 3 = 72⁰

4 parts = ( 360⁰/15)× 4 = 96⁰

6 parts = ( 360⁰/15)× 6 = 144 ⁰

Thus the angles are 48 72⁰ , 96⁰ 144⁰