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Two angles are supplementary. One angle is 12 more than twice the other. What are both angle measures?

User JorgeGRC
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Final answer:

The first angle is 56 degrees and the second angle is 124 degrees.

Step-by-step explanation:

Let's assume that one of the angles is x degrees. According to the problem, the other angle is 12 more than twice the first angle, so it can be represented as 2x + 12 degrees.

Since the angles are supplementary, their sum is 180 degrees. Therefore, we can write the equation:

x + (2x + 12) = 180

Simplifying the equation:

3x + 12 = 180

Subtracting 12 from both sides:

3x = 168

Dividing both sides by 3, we find:

x = 56

Now, we can substitute the value of x back into one of the angle expressions to find the second angle:

2x + 12 = 2(56) + 12 = 124

Therefore, the first angle is 56 degrees and the second angle is 124 degrees.

User Mykola Golubyev
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