Question

Geometry:
<1 and <2 are a linear pair. m<1=x-39, and m<2=x+61. Solve for x and find the measure of each angle.
What I did was set them both equal to each other because linear pairs are congruent.
x-39=x+61
But I do not think that is correct because when I tried to solve it, it didn't work out too well. Help please!

Answer 1

linear pair means the angles add to 180 degrees

so x - 39 + x + 61 = 180

solve for x

Answer 2

Oh crap! I go linear confused with vertical. Wow, I feel so stupid. Thank you so much!