Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. Find the measure of each angle of the triangle.

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Asked 4/9/2014 8:18:22 AM

Updated 4/24/2014 8:01:16 AM

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Flagged by yeswey [4/24/2014 7:50:35 AM]

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Question

Asked 4/9/2014 8:18:22 AM

Updated 4/24/2014 8:01:16 AM

1 Answer/Comment

This conversation has been flagged as incorrect.

Flagged by yeswey [4/24/2014 7:50:35 AM]

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Let x be the measure of those two equal angles, and y be the measure of the third one, we were given:

2x + y = 180

y = 2x - 36

Institute y in the first equation we have

2x + 2x - 36 = 180

4x = 216

x = 54

y = 2(54) - 36 = 108 - 36 = 72

The measure of each angle for the triangle is 54 degrees, 54 degrees and 72 degrees.

2x + y = 180

y = 2x - 36

Institute y in the first equation we have

2x + 2x - 36 = 180

4x = 216

x = 54

y = 2(54) - 36 = 108 - 36 = 72

The measure of each angle for the triangle is 54 degrees, 54 degrees and 72 degrees.

Added 4/24/2014 8:01:16 AM

This answer has been confirmed as correct and helpful.

Confirmed by jeifunk [4/24/2014 8:08:12 AM]

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