All HiSET: Math Resources
Example Questions
Example Question #1 : Measurement And Geometry
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 .
All HiSET: Math Resources
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