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

`(3)/(8) * 160 = 60`

The other angle can be solve in two ways

First approach

160-60=100

Second Approach

Using the earlier method

`(5)/(8) * 160 = 100`

The two angles are 60 and 100