Question

The three angles of a quadrilateral are in the ratio 2:3:7. The mean of these angles are 64°. Find all the three angles. ​

Answer 1

Answer:

2x+3x+7x+64°=360°

12x=360°-64°

12x=296°

x=296/12

x=23

Answer 2

Answer:

let those three angles be 2x, 3x, and 7x

let the fourth angle be y

2x + 3x + 7x + y = 360

y + 12x = 360

y = 360 - 12x

"the mean of these angles is 64"

I will assume you mean the mean of the 3 angles.

12x/3 = 64

4x = 64

x = 16

then y = 360-192 = 168

the 4 angles are : 32° , 48°, 112°, and 168°