Angle 1 and 2 are supplementary.
measure of angle 1 + measure of angle 2 = 180
x+52 + 3x = 180
4x + 52 = 180
4x = 128
x = 32
Plug that back into (x+52) and (3x) to find the measures of the angles.
x+52 = 84
3x = 96
And those add to 180.
Answer:
Solution given:
<1+<2=180°[being linear pair's angle's sum is supplementary]
x+52+3x=180°
4x=180°-52°
x=128/4
x=32°
now
<1=x+52=32+52=84°
<2=3*32=96°
