Question

Two angles of a quadrilateral measure 139° and 191°. The other two angles are in a ratio of 3:7. What are the measures of those two angles

Answer 1

Answer:

Let the common angle be x.

So other two angles are 3x and 7x.

Sum of all angles of a quadrilateral is 360 degree.

139⁰+191⁰+3x⁰+7x⁰=360⁰

330⁰+10x=360⁰

10x=360⁰-330⁰

x=30⁰/10

x=3⁰

Two other angels are -

3x=3×3⁰=9⁰

7x=3×7⁰=21⁰