Question

prove that the sum of the angles of a triangle is 180 Also find the angles of a triangle if they are in the ratio 5:6:7​

Answer 1

Answer:

let ratio be x

5x:6x:7:

Step-by-step explanation:

5x+6x+7x = 180

18x = 180

x = 10

5x                       6x                                  7x

5×10                    6×10                             7×10

50                        60                                    70

Answer 2

In order to prove that the sum of angles of a triangle is 180, you must know the theorems of angles of a triangle.

We know that,  alternate interior angles are of equal magnitude.

This'll help us get the answer. Let us assume a triangle ABC. Now we have to substitute the angles.

∠PAB + ∠BAC + ∠CAQ = 180°. where PQ line parallel to side BC touching vertex A.

∠PAB = ∠ABC & ∠CAQ = ∠ACB BECAUSE alternate interior angles are congruent..

Hence we get, ∠ABC + ∠BAC + ∠ACB = 180°   [Proved]

et the angles be 5x, 6x, 7x.

5x + 6x + 7x = 180°

18x = 180°

x = 10°

the angles are 50°, 60°, 70°.

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