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One of the angles in an isosceles triangle is equal to 40 degrees . What is the measure of the largest angle that this triangle could contain?

A) 40

B) 70

C) 90

D) 100

E) 110

 Apr 11, 2020
edited by ueshui  Apr 11, 2020
 #1
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D: 100.

This happens if 40 is the common angle.

 Apr 11, 2020
 #2
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In an islsceles triangle two angles are the same and one is different. 40 could be the different angle or the angle there is two of.

The angles in a triangle sum to 180.

If 40 was the double angle, the third would be 180-40*2=100.

If 40 was the different angle the other two would be (180-40)/2=60.

100 is the largest so D is the answer.

 Apr 11, 2020

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