Question

angle 1 and angle 2 form a linear pair. If measure angle 1 =18x-1 and measure angle 2=23x+17, find measure angle 2.

Answer 1

the measure of angle 2 =109

Explanation:

18x-1+23x+17

18x+23x-1+17

41x+16

41x+16=180

180-16=164

164 divided by 41= 4

x=4

23(4)+17

92+17

109

Answer 2

Hey there!
Here's your answer: m<2=114.52 degrees
Here's how I got it: we know that a linear pair of angles is supplementary, aka the sum of the angles is 180 degrees.
you would add 18x-1 and 23x+7 together to equal 180 and solve for x.
then, you would substitute x for 4.24 (rounded) into 23x+17
23(4.24)+17=114.52
Hope this helps!