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

User Sydell
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1 Answer

3 votes

Answer:


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\°

User Yun CHEN
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