Question

Find the measure of each angle in triangle ABC

Answer 1

A = 48

B = 86

C = 46

Explanation:

All angles of a triangle add up to 180. So:

x - 22 + 2x - 54 + 1/2x + 11 = 180

Combine like terms:

3 1/2x - 65 = 180

3 1/2x = 245

7/2x = 245

7x = 490

x = 70

Plug this value in for A:

A = 70 - 22

A = 48

Now for B:

2(70) - 54 = B

140 - 54 = B

B = 86

Lastly, for C:

1/2 (70) + 11 = C

35 + 11 = C

C = 46

Add these up to ensure they add up to 180:

48 + 86 + 46 = 180