Question

The ratio of four angles of a quadrilateral is 5:6:8:11. Find the measure each angle

Answer 1

Answer: 60,72,96, 132

Step-by-step explanation:

Ratio of angles 5:6:8:11.

Let common ratio between angles be k

Then four angles are 5k, 6k, 8k, 11k

Sum if all angles if any quadrilateral is 360 degree

So, 5k+6k+8k+ 11k 360

30k= 360

k =360/30= 12

So, four angles are 5×12, 6×12, 8×12, 11×12.

60,72,96, 132

Answer 2

Answer:

below

Step-by-step explanation:

let the angles be 5x, 6x , 8x, 11x

as we know, sum of angles of quadrilaterals are 360

therefore, 5x + 6x + 8x + 11x = 360

30x=360

x=12

so, the angles are...

5x = 5×12=60

6x= 6x12=72

8x=8×12=96

11x=11x12=132

so the angles are 60°, 72°, 96°, 13°

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