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taurus [48]
3 years ago
6

Please help, thx if you do :) Twice the complement of an angle is 26° less than the supplement of the angle. Find the angle. A.

64° B. 166° C. 154° D. 26°
Mathematics
1 answer:
leonid [27]3 years ago
5 0

Answer:

x=26 degrees (D)

Step-by-step explanation:

Let's say x is the angle.

90-x would be the complement of the angle

180-x is the supplement

We can make the equation

supplement-26=2complement as the question states that twice the complement is 26 less than the supplement.

We can now substitute the 90-x and 180-x in their respective positions to get (180-x)-26=2(90-x) if we simplify this we get 180-x-26=180-2x which if we take away 180-x from both sides we get that -26=-x or 26=x

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Answer D works because:

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