Question

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

Answer 1

Answer:

Let,the three angles be X,Y,Z

Step-by-step explanation:

According to question

X/Y=1/2

Y=2X

Now,

Z=X+Y

Z=X+2X

Z=3X

Now,sum of 3 angles

X+Y+Z=180

X+2X+3X=180° --- (From the above equation)

6X=180

X=30°

we know Y=2X

Y=2×30=60°

and

Z=3X

Z=3×30=90°

Answer 2

Step-by-step explanation:

Ratio of two angles of triangle = 1:2

therefore, 1st angle = X

second angle = 2x

so, third angle = X + 2x = 3x

we know that sum of three of triangle is 180°

x+ 2x+ 3x = 180°

6x = 180°

X = 180/6

X = 30°

so,

1st angle = 30°

2nd angle = 2 × 30 = 60°

3rd angle = 3 × 30 = 90°

hence, the three angles of triangle are 30°, 60° and 90°