Math, asked by soniya2747, 2 months ago

two complimentary angles differ by 10 degree find the larger angle ​

Answers

Answered by Khadijah21
3

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 suppu2826
1

Answer:

Let smaller angle be x and larger angle is x + 10. = 50° Ans. ... The larger angle is 50°.

Step-by-step explanation:

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