A quadrilateral has two angles that measure 248° and 56°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?

1 answer

The sum of interior angles in a quadrilateral is 360°. Let's call the two unknown angles "2x" and "5x".

We know that:

248° + 56° + 2x + 5x = 360°

Simplifying:

304° + 7x = 360°

Subtracting 304° from both sides:

7x = 56°

Dividing both sides by 7:

x = 8°

So the two unknown angles are:

2x = 16°

5x = 40°