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olya-2409 [2.1K]
3 years ago
11

Two angles are supplementary. The first angle is 8x degrees. The second angle is(4x+12). Determine the measure of each angle.

Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Answer:

The measure of the angles are 112 degrees and 68 degrees.

Step-by-step explanation:

Two angles are supplementary if they add up to 180 degrees.

The first angle is 8x degrees.

The second angle is (4x+12) degrees.

Therefore:

8x+4x+12=180 degrees

12x+12=180

12x=180-12

12x=168

Divide both sides by 12

x=14 degrees

Substituting x in the given angles:

8x =8*14=112 degrees

4x+12=4(14)+12=68 degrees

Therefore, the measure of the angles are <u>112 degrees and 68 degrees.</u>

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