Question

find the answer of the both in long step by step.
Q. 1 OF THE TRIANGLE, THE SECOND ONE IS 1/3RD OF THE FIRST AND THIRD ANGLE IS 26 MORE THAN THE FIRST ANGLE

Answer 1

$let \: first \: angle \: be \: n \\ second \: angle = \frac{1}{3} n \\ third \: angle = n + 26 \\ since \: sum \: of \: angles \: of \: \\ a \: triangle \: is \: 180 \\ hence \: \\ first \: + second +third = 180 \\ n + \frac{1}{3} n +n + 26 = 180 \\ \frac{7}{3} n = 180 - 26 \\ \frac{7}{3} n = 154 \\ n = \frac{154 \times 3}{7} \\ n = 66 \\ first \: angle = 66\\ second \: angle = \frac{66}{3} = 22\\ third \: angle = 66 + 26 = 92 \\ hope \: it \: helps$