Question

HELP ASAP!!!!!!

Tringle ABC has angle measures as shown.

(a) what is the value of x? show your work.
(b) what is the measure of angle c? show your work.

Answer 1

x=26

C = 91

Explanation:

The sum of the angles of a triangle add to 180 degrees

A + B+ C = 180

35+ 52+ 3(x+5) = 180

Distribute

35+52+3x+15 = 180

Combine like terms

102 +3x = 180

Subtract 102 from each side

102-102 +3x=180-102

3x= 78

Divide by 3

3x/3 = 78/3

x=26

Now we need to find angle C

c = 3(x+5)

C = 3(26+5)

3(31)

93