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Naddik [55]
3 years ago
9

The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer:

Angle = 135°

Supplement of the Angle = 45°

Step-by-step explanation:

The complement of an angle, say "x", would be 90 minus that angle:

90 - x

The supplement of an angle, say "y", would be 180 minus that angle:

180 - y

Since we have 1 angle, let it be "x", and that angle is 3 TIMES the SUPPLEMENT of that angle, we can write:

x = 3(180 - x)

Now, we solve for the angle x:

x = 3(180 - x)\\x = 540 - 3x\\x + 3x = 540\\4x = 540\\x = \frac{540}{4}\\x=135

So, the angle is 135°

The supplement of the angle is  180 - 135 = 45°

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