Question

Angle 1 and 2 are linear pair. If m<1=x-9 and m<2=x+47 find the measure of each angle

Answer 1

Answer:

m1 = 62°, m2 = 118°

Step-by-step explanation:

The definition of a linear pair of angles is a pair of angles that are adjacent and add up to 180°.

Then, we have the following equation

$x-9+x+47 =180$

Then,

$2x+38=180$

Subtracting 38 on both sides

$2x = 180-38 = 142$

Dividing by two, we get x = 71. Then m1 = 71-9 = 62, m2 = 71+47=118[/tex]