Practice Questions

Question 4 « Prev Next »

In triangle ABC below, the measure of angle A is 20°and the measure of angle B is 3 times larger than the measure of angle C. What is the measure of angle B ?

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Answer: 120°

Explanation

Given that angle A is \[20°\]

and that angle B is three times larger than angle C,

you can set up the following equation.

\[20°+B+C=180°.\]

Since \[B=3C\],

you have \[20°+3C+C=180°.\]

Combine like terms:

\[20°+4C=180°.\]

Solve for C:

\[4C=160°\];

\[C=40°\].

If \[C=40°\],

then \[B=(40°)(3)=120°\]

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