Question

Find the measure of angle A.


75°
60
30°
38°​

Answer 1

x + 67 + x + 37 = 90

2x + 104 = 90

2x = 90 - 104

2x = - 14

x = - 7

Therefore angle A = x + 37 = - 7 + 37 = 30

Answer 2

In a right angled triangle, sum of angles except the right angle is 90°

So, x+37+x+67=90

2x+104=90

2x=90-104

2x=-14

x=-7

Angle A=x+37=-7+37=30°