Math, asked by mydreamnasa, 9 months ago

A, B, C are the three angles of a triangle. If A – B = 15o

, B – C = 30o

, Find all the angles

of the triangles​

Answers

Answered by DesmondMiles67
1

Answer:

We know that the sum of all the angles of a triangle

is 180°

so, A + B+ C= 180°                              

Given,

A - B = 15°

⇒A= 15° + B

other hand,

B - C = 30°

⇒B= 30° + C

By substitution,

A = 15° + 30° + C

  = 45° + C

A+B+C= 180°

⇒45°+C+30°+C=180°

⇒2C=180°- 75°

⇒C= 105/2

⇒C= 52.5

A= 45°+ 52.5°

  =97.5°

B= 30°+ 52.5°

  =82.5°

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