Question

Find the measure for angle A.

A. 75
B. 60
C. 30
D. 38

Answer 1

180-90=90 (right angle is 90; all angles in triangle add to 180)
So the last two add up to 90
x+37+x+67=180 SPOE and CLT
-37 -67 -37
-67
2x=76
———-
2
X=38

Answer 2

∠A = 30°

180 = 90 + x + 37 + x + 67
180 = 194 + 2x
180 - 194 = 2x
-14 = 2x
-14/2 = 2x/2
-7 = x

substitute x for (-7)
∠A = x + 37
∠A = (-7) + 37
∠A = 30°