GMAT Math : Calculating an angle in an acute / obtuse triangle

Study concepts, example questions & explanations for GMAT Math

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Example Questions

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Example Question #21 : Calculating An Angle In An Acute / Obtuse Triangle

The measures of the angles of one triangle, in degrees, are .

The measures of the angles of a second triangle, in degrees, are .

What is ?

Possible Answers:

Correct answer:

Explanation:

The degree measures of the angles of a triangle add up to a total of 180, so we can set up the following equations:

From the first triangle:

From the second:

These equations form a system of equations that can be solved:

            

, so

and .

 

 

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