Question

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Answer 1

Step-by-step explanation:

Solution to Question 1:-

If the ratios are 8:6:9:7 then

let the angles be

8α, 6α, 9α and 7α

We know that the sum of angles in a straight line is 180°

so

8α+6α+9α+7α=180°

30α=180°

Therefore, α=5°

So the angles are:-

x=8×5°=40°

y=6×5°=30°

a=9×5°=45°

b=7×5°=35°

Answer 2

Step-by-step explanation:

5. since x, y, a & b are supplementary angles, their sum will be 180 degrees

so,

8d + 6d + 9d + 7d = 180

30d = 180

d = 6

(d is variable here)

x = 48 degrees

y = 36 degrees

a = 54 degrees

b = 42 degrees