two complimentary angles differ by 10 degree find the larger angle
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Two complimentary angles differ by 10 degree find the larger angle.
A , B and C = The angles of a triangle
A = The largest angle
C = The smaller angle
B = A - 10 °
C = A - 50 °
The angles of a triangle always sum to 180 °
A + B + C = 180 °
A + A - 10 ° + A - 50 ° = 180 °
3 A - 60 ° = 180 °
3 A = 180 ° + 60 °
3 A = 240 ° Divide both sides by 3
A = 240 ° / 3
A = 80 °
B = A - 10 °
B = 80 ° - 10 °
B = 70 °
C = A - 50 °
C = 80 ° - 50 °
C = 30 °
Khadijah21
Answered by
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Answer:
Let smaller angle be x and larger angle is x + 10. = 50° Ans. ... The larger angle is 50°.
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