Question

The ratio of three angle of a quadrilateral is 8:6:5.If the fourth angle is 132 degrees,what is the third largest angle ?

Answer 1

Let's assume the three angles of the Quadrilateral as

8x , 6x & 5x

We know,

Sum of all angles of Quadrilateral

= 360°

According to Question,

8x + 6x + 5x + 132 = 360

=> 19x = 360 - 132

=> 19x = 228

=> x = 228 / 19

=> x = 12

Required Angles -

1... 8x = 8(12) = 96°

2...6x = 6(12) = 72°

3...5x = 5(12) = 60°

4... 132°

∵ Clearly,

132° > 96° > 72° > 60°

Hence, the third Largest Angle is 72°

Answer 2

Ratio=8:6:5

Let,

1st angle=8x

2nd angle =6x

3rd angle =5x

In a quadrilateral, sum of all angles is 360°

So,

8x+6x+5x+132=360

19x=228

x=12

1st angle =8×12=96

2nd angle =6×12=72

3rd angle =5×12=60

4th angle=132