Question

If two angles form a linear pair and the m<1 =2x + 20 and m< 2 = 48x, find the measure of each angle

Answer 1

`m<1=26.4\°`

`m<2=153.6\°`

Explanation:

we know that

If m<1 and m<2 form a linear pair

then

`m<1+m<2=180\°` -----> by supplementary angles

substitute the values and solve for x

`(2x+20)+48x=180\°`

`50x=180\°-20\°`

`50x=160\°`

`x=3.2\°`

Find the measure of each angle

`m<1=(2x+20)=2(3.2\°)+20\°=26.4\°`

`m<2=48x=48(3.2\°)=153.6\°`