SOLUTION: The ratio of the angle measures in a triangle is 2 : 5 : 11. What is the measure of the largest angle? Multiple choice: A. 10 degrees B. 11 degrees C. 18 degrees D. 110 degr

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Question 1159263: The ratio of the angle measures in a triangle is 2 : 5 : 11. What is the measure of the largest angle?
Multiple choice:
A. 10 degrees
B. 11 degrees
C. 18 degrees
D. 110 degrees
Thank you so much for your help with this
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52804)   (Show Source): You can put this solution on YOUR website!
.

The proportion says that the angles are  2x, 5x and 11x,  where "x" is their common measure.


The sum of a triangle interior angles is 180 degrees


    2x + 5x + 11x = 180

    18x           = 180

      x           = 180/18 = 10 degrees.


ANSWER.  The largest angle measure is 11*10 degrees = 110 degrres.

         Option D.

Solved.


Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!

The ratio of the angle measures in a triangle is 2 : 5 : 11. What is the measure of the largest angle?
Multiple choice:
A. 10 degrees
B. 11 degrees
C. 18 degrees
D. 110 degrees
Thank you so much for your help with this
Ratio: 2:5:11.

Thus, largest angle has share 11, and with the angles of a triangle SUMMING to 180o, we get:  

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