Question

Two angles of a quadrilateral measure 175° and 85°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answer 1

Explanation:

let the angels in ratio be 2x and 3x

we know that sum of all angles of a quadrilateral = 360°

175°+85°+2x+3x=360

5x+260=360

5x=360-260

5x=100

x=20

2x=40

3x=60

Answer 2

Answer:

40 and 60

Explanation:

we can take 2:3 as 2x and 3x and do the that i have done below

175+85+2x+3x =360

260+5x = 360

5x = 360-260

5x = 100

x = 100/5

x = 20

2x = 2*20=40

3x = 3*20= 60