Question

which angle is equal to twice its complement and half its supplement.

Answer 1

Call the measure of the angle you need, x.

Its complement is 90-x.

Its supplement is 180-x.

Then we write

x + 2(90-x) + 3(180-x) = x + 490

 

Now solve for x...

x + 180 - 2x + 540 - 3x = x + 490

subtract the x, combine the rest...

720 - 5x = 490

subtract 720 and divide by -5

-5x = -230

x = 46 degrees

Answer 2

Answer:

THE ANGLE WHICH IS TWICE ITS COMPLEMENT AND HALF OF ITS SUPPLEMENT WAS 60°

Step-by-step explanation:

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