Question

Angle A -angle B=40° and angle B-Angle C =10° find angle A B C

Answer 1

Answer:

A = 90°

B = 50°

C = 40°.

Explanation is given below :

Step-by-step explanation:

given ,

A-B = 40°.......... (i)

B-C = 10°...........(ii)

From (i) we can substitute the value of A as A= 40°+B ...........(iii)

From (ii) we can substitute the value of B as B=10°+C ............(iv)

simplifying (iii)

A = 40°+B

=40° +(10° +C)

= 40° + 10° + C

A = 50° +C ...............(v)

Since the sum of angles in a triangle equals 180° .

A+B+C = 180° ...............(vi)

substituting the value of A and B in (vi)

50°+C + 10° +C + C = 180°

=> 3C + 60° = 180°

=> 3C = 180° - 60°

=> 3C = 120°

=> C = 120°/3

=> C = 40°

substituting the value of C in (iv)

B = 10°+C

= 10°+40°

= 50°

substituting the value of C in (v)

A = 50°+C

= 50°+40°

= 90°

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