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Find the measure of two supplementary angles if their measures are in th egiven ratio 11:25

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Final answer:

The two supplementary angles with a ratio of 11:25 measure 55 degrees and 125 degrees respectively, adding up to 180 degrees.

Step-by-step explanation:

To find the measure of two supplementary angles with a given ratio, we first need to understand that supplementary angles add up to 180 degrees. Given the ratio 11:25, let's consider the angle measures to be 11x and 25x. Since the angles are supplementary, their measures must add up to 180 degrees:
11x + 25x = 180.

Solving for x:
36x = 180
x = 5
Now, we plug x back into the angle measures:
11x = 11*5 = 55 degrees
25x = 25*5 = 125 degrees.

So, the measures of the two supplementary angles are 55 degrees and 125 degrees.

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