Question

.
14. Of the three angles of a triangle, the second is one third the first and the third is
26 more than the first. Find the measure of all the angles.​

Answer 1

Step-by-step explanation:

let us 1st angle is X

then 1st angle = X

2nd angle = 1/3 × X

3rd angle = X+26

hence, X + X × 1/3 + X + 26 = 180°

X + X × X/3 + 26= 180°

2X × X/3 + 26 = 180°

6X + X/3 =180° – 26

7X/3=154°

7X =3(154)

X= 462/7

X= 66

then clearly 1st angle= 66°

2nd angle= 66/3 = 22°

3rd angle = 66+26 = 92°