Question

A quadrilateral has twi angels that measure 150 degrees and 50 degrees. The other two angles are in a ratio of 3:5. What are the measures of these two angles

Answer 1

Quadrilateral angles sum up to 360

The two angles when sum up will be

$150 + 50 = 200$

The other two angles when sum up will be

$360 - 200 = 160$

This angle 160 is shared in the ratio 3:5

We will add the two ratios up which will be

$3 + 5 = 8$

To get one angle we will divide 3 by 8 n multiple the results by 160 . this will be

$\frac{3}{8} \times 160 = 60$

The other angle can be solve in two ways

First approach

160-60=100

Second Approach

Using the earlier method

$\frac{5}{8} \times 160 = 100$

The two angles are 60 and 100