What is the measure of angle AMC? In isosceles triangle ABC above, AM - ProProfs Discuss
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What is the measure of angle AMC? In isosceles triangle ABC above, AM and CM are the angle bisectors of angle BAC and angle BCA.





A. 110 degrees
B. 115 degrees
C. 120 degrees
D. 125 degrees
E. 130 degrees

This question is part of SAT Section 1 - Group 2
Asked by Mmmaxwell, Last updated: Mar 31, 2020

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3 Answers

Danny R. Glover

Danny R. Glover, Editor, New York City

Answered Oct 10, 2018

Take note that this is an isosceles triangle. This means that the A and C angles are the same with each other. These angles are equal to 70 Degrees. To solve this, start with 180 Degrees then subtract 40 degrees so that you will get 140 Degrees. You can divide this into two which means that you will get 70 Degrees.

The angle bisectors are AM and CM. They need to be divided into half. So from 70 Degrees divided into 2, you will get 35 Degrees. This means that the final equation will be 180 Degrees minus 35 Degrees minus 35 Degrees again in order to get the answer of 110 Degrees. This means that the answer is A.

 

John Adney

John Adney

Answered Aug 13, 2017

120 degrees because i said so and i have the answers

 

John Smith

John Smith

Answered Feb 21, 2017

110 degrees
 

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