Question

Three angles of a quadrilateral are in ratio 2:3:7 the mean of these angle is 64degree find all four angles​

Answer 1

Answer:

Find the sum of the 3 angles:

Average = 64º

Sum = 64 x 3 = 192º

Find the 4th angle:

Sum of all angles in the quadrilateral = 360º

4th angle = 360 - 192 = 168º

Define x:

Ratio of the 3 angles = 2 : 3 : 7

Let x be the constant ratio

Ratio of the 3 angles = 2x : 3x : 7x

Solve x:

2x + 3x + 7x = 192

12x = 192

x = 16º

Find the 3 angles:

2x = 2(16) = 32º

3x = 3(16) = 48º

7x = 7(16) = 112º

Answer: The angles are 32º, 48º, 112º and 168º