word problems

Question

In triangle ABC, the measure of angle B is 5degrees

more than three times the measure of angle A. The measure of angle C is 15degrees

more than that of angle A. Find the angle measures.

Answer 1

Hi Eli, a triangle has 180 degrees total for all three angles. Let x represent angle A. Then angle B equals 3x + 5 and angle C equals x + 15.

 

Equation to solve:

 

x + (3x + 5) + (x + 15) = 180

 

5x + 20 = 180

 

5x = 160

 

x = 32

 

Angle A is 32 degrees.

 

Angle B is 3 * angle A + 5, or 101 degrees.

 

Angle C is angle A + 15, or 47 degrees.

 

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