Find the angle which is four times its compliment is 10? less than twice its complement.
??????a. 15?
??????b. 10?
??????c. 25?
??????d. 5?

Dear student, your question seems to be incorrect.
It should be
Find the measure of an angle if four times its complement is 10 degree less than two times its supplement.

Let the angle be = a

= Its complement = 90-a and its supplement = 180-a

According to the question,
4(90 - a) = 2(180 - a) - 10
or, 360 - 4a = 360 - 2a - 10
or, 2a = 10
or, a = 5 degrees

If this is not what you had in mind, kindly post the correct question in a new thread.
Regards!

  • 1
Dear student,

4(90 - a) = 2(180 - a) - 10
360 - 4a = 360 - 2a - 10
2a = 10
a = 5 degrees
Correct answer is option 'D'

Regards
  • 0

First of all we will solve this,

4(90 - a) = 2(180 - a) - 10

360 - 4a = 360 - 2a - 10

2a = 10

a = 5°

The answer for this question is 5°

  • 2
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