Question

A quadrilateral has two angles that measure 240° and 70°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answer 1

The two missing angles are 20 and 30 degrees.

Explanation:

Quadrilaterals have four interior angles that add up to 360 degrees.

So we have two angles that are 240 degrees and 70 degrees.

If 240 + 70 = 310

That means the other two angles added together must be equal 50.

Because 360 - 310 = 50

So their ratio is 2:3 which means they have five equal parts.

Which would mean 50/5 = 10

2 x 10 = 20

3 x 10 =30

This means the missing angles are 20 and 30 degrees.

Hope this helped you!