Question

the second angle of a triangle is 1/3 of its first angle. the third angle is 26 more than the first angle. find out the three angles?​

Answer 1

Answer:

Sum of all angles of the triangle is equal to 180 degree. let first angle be x. therefore first angle was 66 second angle was 22 and third angle was 92 degrees.

Answer 2

Answer:

We know that sum of all 3 side of a triangle = 180

Let's take x as the first angle

x + $\frac{x}{3}$ + (x + 26) = 180

3x + x + 3x + $\frac{78}{3}$ = 180

7x + $\frac{78}{3}$ = 180

7x + 78 = 180 x 3

7x + 78 = 540

7x = 540 - 78

7x = 462

x = $\frac{462}{7}$

x = 66

So first angle = 66

Second angle = 66 x $\frac{1}{3}$

                       = 22

Third angle = 66 + 26

                   = 92

Hope it helps