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Viefleur [7K]
3 years ago
7

An angle is 88° more than its supplement. What is the angle's measure?

Mathematics
2 answers:
Gala2k [10]3 years ago
8 0

Answer:

134°

Step-by-step explanation:

Supplementary angles when combined = 180°

One of the angles is x°. The other is x + 88°. Set the equation:

x + x + 88 = 180

Simplify. Combine like terms:

(x + x) + 88 = 180

2x + 88 = 180

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Subtract 88 from both sides:

2x + 88 (-88) = 180 (-88)

2x = 180 - 88

2x = 92

Divide 2 from both sides:

(2x)/2 = (92)/2

x = 92/2

x = 46

The supplement angle is 46° long.

Find the angle you are solving for: 88 + 46 = 134°

134° is your answer.

The supplement angle is 46°.

~

svp [43]3 years ago
7 0
The angles measure is 92 degrees.
Work:
Two supplementary angles add up to 180 degrees
180-88=92
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