Question

Find the measure of angle A

Answer 1

<a = 30

Explanation:

x + 37 + x + 67 + 90 = 180

<A + <B + <C = 180

*take each angle, add them, and equal them to 180*

x + 37 + x + 67 + 90 = 180

*solve for x*

2x + 194 = 180

-194 -194

2x = -14

x = -7

<a = x + 37

<a = (-7) + 37

<a = 30

<b = x + 67

<b = (-7) + 67

<b = 60

<c = 90

Answer 2

30

Explanation:

(x + 37) + (x + 67) + 90 = 180 by the Triangle Angle Sum Theorem

(x + 37) + (x + 67) = 90

2x + 104 = 90

2x = -14

x = -7

(-7 + 37) = angle A

angle A = 30