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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)

1 Answer

4 votes
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
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