Triangle ABC has angle measures as shown. Angle A = x-5 angle B = 3x+30 C = 35.

A) What is the value of x? Show your work.

B) what are the values of the two unknown angles? (show your work)

We know that the sum of the measure of the angles in a triangle is 180 degrees

so A+B+C=180

(x-5) + (3x+30) + 35=180

x-5+3x+30+35=180 add like terms

4x=60=180

4x=120 divide both sides by 4

x=30

angle A=x-5=30-5=25

angle b=3x+30=90+30=120

angle C is 35