16. Given that Angle 1 and Angle 2 form a linear pair, find the measure of both angles if m<1 = (5x + 9)° and m<2= (3x + 11). x = m<1 = m<2=

asked Jun 5, 2023 179k views

4 votes

16. Given that Angle 1 and Angle 2 form a linear pair, find the measure of both angles if m<1 = (5x + 9)° and

m<2= (3x + 11).

x =
m<1 =
m<2=

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6 votes

Answer:
$x=20, m\angle 1=109^(\circ), m\angle 2=71^(\circ)$

Explanation:

Angles that form a linear pair add to 180 degrees, so:

$5x+9+3x+11=180\\\\8x+20=180\\\\8x=160\\\\x=20\\\\\implies m\angle 1=5(20)+9=109^(\circ)\\\\\implies m\angle 2=180^(\circ)-109^(\circ)=71^(\circ)$

Phcerdan answered Jun 9, 2023

7.1k points

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