The supplement of an angle is 30° less than four times its complement. Find the angle.
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The supplement of an angle is 30° less than four times its complement. Find the angle.
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Answer:
Step-by-step explanation: if we let x = the measure of our angle, then the supplement is 180 - x and the compliment is 90 - x. Since we have that the supplement is 30 more than 4 times the complement, then 180 - x = 4(90 - x) + 30. We have to multiply the compliment by 4 and then add 30 to it to get the supplement. 180 - x = 4(90 - x) + 30.