Question

In a quadrilateral PQRS, ∠P:∠Q:∠R:∠S = 3:5:9:7, find all the angles.​

Answer 1

Answer:

Ans is

Angle P is 45°

Angle Q is 75°

Angle R is 135°

Angle S is 105°

Step-by-step explanation:

Let the ratios can be written as 3x,5x,9x and 7x

Since we know that the Sum of all the angles in a quadrilateral is 360°

Then

A.T.Q

3x + 5x + 9x + 7x =360°

24x =360°

x= 360/24

x = 15°

then

Angle P = 3x = 15* 3 = 45°

Angle Q = 5x = 15* 5 = 75°

Angle R = 9x = 15* 9 = 135°

Angle S = 7x = 15* 7 = 105°

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