Question

Two angles of a quadrilateral measure 140° and 80°. The other two angles are in a

ratio of 3:4. What is the value of x? What are the measures of those two angles?

Answer 1

60 and 80 degrees.

Explanation:

The other 2 angles have the sum : 360 - (140 + 80)

= 360 - 220

= 140. (because the 4 angles in a quadrilateral add up to 360).

As the other 2 angles are in the ratio 3:4 one angle = 3/7 of 140 and the other is 4/7 of 140.

This is equal to 3 *20 and 4 * 20 = 60 and 80 degrees.

Answer 2

Step-by-step explanation :

Ratio = 3x : 4x

Sum of angle of a quadrilateral = 360

Therefore, 140+80+3x+4x = 360

220+7x = 360

7x = 360-220

x= 140/7

x=20

3x= 3×20=60

4x=4×20=80