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Find the angle whose measure is five times its complement

  • a)
    360°

  • b)
    75°

  • c)
    180°

  • d)
    30°

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the angle whose measure is five times its complementa)360°b)7...
This will be the equation x=5(90-x)

solution= x=5(90-x)              

                x+5x=450

                6x=450

                 6x/6=450/6   {divide by 6 to both the side to x}

                  x=75



ans= The angle is 15 degree and its compliment angle is 75 degree
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Most Upvoted Answer
Find the angle whose measure is five times its complementa)360°b)7...
The sum of an angle and its complement is always 90 degrees since they are complementary angles.

Let's assume that the measure of the angle is x degrees.

The complement of the angle is 90 - x degrees.

According to the given information, the measure of the angle is five times its complement:

x = 5(90 - x)

Simplifying the equation:

x = 450 - 5x

Adding 5x to both sides:

6x = 450

Dividing both sides by 6:

x = 75

Therefore, the measure of the angle is 75 degrees.
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Community Answer
Find the angle whose measure is five times its complementa)360°b)7...
B is correct.
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Find the angle whose measure is five times its complementa)360°b)75°c)180°d)30°Correct answer is option 'B'. Can you explain this answer?
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