Question

Tivo angles of a quadrilateral measure 200 and 659. The other two angles are in a ratio of

5:14. What are the measures of those two angles?

Answer 1

The total angle sum of the quadrilateral is 360 degrees.

2 angles given 250 and 40 added to 290

so remaining 2 angle sum is

360-290 =70

2 angles are in ratio 3 : 4 so

3x+4x =70

7x =70

x = 10

So 1 angle is 10×3=30 °

Other angle is 10×4 =40 °