HiSET: Math : Solve problems

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #1 : Solve Problems

Two of the angles of a triangle are congruent; the third has measure ten degrees greater than either one of the first two. What is the measure of the third angle?

Possible Answers:

Correct answer:

Explanation:

Let be the measure of the third angle. Since its measure is ten degrees greater than either of the others, then the common measure of the other two is . The sum of the measures of the angles of a triangle is 180 degrees, so

To solve for , first ungroup and collect like terms:

Isolate ; first add 20:

Divide by 3:

Since ,

.

The third angle measures .

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