Question

Two angles of a triangle are in the ratio
1:2. If the third angle is equal to the sum of the other two, find the three angles of the triangle.

Answer 1

Step-by-step explanation:

Two angles of a triangle are in the ratio

1:2.

let k be constant.

According to given condition........

1k+2k=c

c=3k

Sum of all angles of triangle is 180°

6k=180

k=30°

therefore,,

angle A = 30°

angle B = 60°

angle C =90°

hope it helps

Answer 2

Answer is 30°, 60°, 90°

Step-by-step explanation:

ratio of angles = 1:2

therefore, 1st angle = x

2nd angle = 2x

so,3rd angle = 1x+2x= 3x

therefore ,

angle 1 + angle 2 + angle 3= 180°

1x+2x+3x= 180°

6x= 180°

x=180/6= 30°

then,

angle1 = 1x = 30°

angle2= 2x = 2×30° = 60°

angle3= 3x = 3× 30° = 90°