find the measure of an angle if seven times its complement is 10 less than three times its supplement
Answers
Answered by
9
Let the angle be a
Complementary angle = 90 - a
Supplementary angle = 180 - a
According to question,
7 ( 90 - a) = 3 (180 - a) - 10
=> 630 - 7a = 540 - 3a - 10
=> 630 - 7a = 530 - 3a
=> 630 - 530 = 7a - 3a
=> 4a = 100
=> a = 25
Required angle = 25°
Complementary angle = 90 - a
Supplementary angle = 180 - a
According to question,
7 ( 90 - a) = 3 (180 - a) - 10
=> 630 - 7a = 540 - 3a - 10
=> 630 - 7a = 530 - 3a
=> 630 - 530 = 7a - 3a
=> 4a = 100
=> a = 25
Required angle = 25°
Answered by
1
Answer:
25˚
Step-by-step explanation:
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