Two angles of a quadrilateral measure 250° and 40°. The other two angles are in a ratio of 3:4. What are the measures of those two angles?

Question

Two angles of a quadrilateral measure 250° and 40°. The other two angles are in a ratio of 3:4. What are the measures of those two angles? Please help i dont have time

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 °