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Find the measure of an angle, if 7 times its complement is 10 less than 3 times its supplement
  • a)
    15    
  • b)
    10   
  • c)
    25     
  • d)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Find the measure of an angle, if 7 times its complement is 10 less tha...
Step-by-step explanation:

Let the required angle be xdegree

Complementary angle with respect to xdegree is (90 - x)degree

Supplementary angle with respect to xdegree is (180 - x)degree

Given that,

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Most Upvoted Answer
Find the measure of an angle, if 7 times its complement is 10 less tha...
Let the measure of the angle be x.
The complement of the angle is 90 - x, and its supplement is 180 - x.
According to the problem, 7 times the complement of the angle is 10 less than 3 times its supplement:
7(90 - x) = 3(180 - x) - 10
630 - 7x = 540 - 3x - 10
630 - 540 + 10 = -3x + 7x
100 = 4x
x = 100/4
x = 25
Therefore, the measure of the angle is 25 degrees.
The answer is c)25.
Community Answer
Find the measure of an angle, if 7 times its complement is 10 less tha...
C
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Find the measure of an angle, if 7 times its complement is 10 less than 3 times its supplementa)15 b)10 c)25 d)5°Correct answer is option 'C'. Can you explain this answer?
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