two contempory angles differ by 16° find the angles maths
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Refer The Attachment ⬆️.
- Angles are 53° & 37°
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Answered by
3
Answer :
- Angles are 53⁰ and 37⁰
Given :
- Two complementary angles differ by 16⁰
To find :
- Angles
Solution :
- Let the one angle be x
Two complementary angles differ by 16⁰ so,
- Let the other angle be x - 16
As we know that,
- Complementary angles = 90⁰
》x + x - 16 = 90⁰
》2x = 90 + 16
》2x = 106
》x = 106/2
》x = 53
- One angle is 53⁰
- Other angle = x - 16 = 53 - 16 = 37⁰
Hence, Angles are 53⁰ and 37⁰
Verification :
》x + x - 16 = 90⁰
》53 + 53 - 16 = 90⁰
》106 - 16 = 90⁰
》90⁰ = 90⁰
Hence, Verified.
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