Question

The measure of two angles of a triangle are in the ratio 7:11. If the sum of these two angle is equal to the third angle, find the measurea of all the angles of the triangle.

Answer 1

two angles ratio=7:11
let,
two ratios be 7x and 11x
given,
third angle=7x+11x=18x
we know that,
Sum of three angles=180°
⇒7x+11x+18x=180°
⇒36x=180°
⇒x=5°

∴3 angles of a triangle 35°,55° and 90°

Answer 2

let the first angle A = 7x
second angle B =11x
third angle C =18x

sum of the angles in a triangle 180degree
A+B+C =180

7x+11++18x =180

36x=180

x = 180/36

x =5

therefore
A= 7x=7*5=35

B= 11x =11*5=55
C =18x=18*5=90