Question

29. If one angle of a triangle is 60° and the other two angles are in the ratio 1: 2. find the
angles.​

Answer 1

Step-by-step explanation:

The sum of the three angles of triangle is 180°.

First angle = 60° .

Let second angle be 1x and third angle be 2x.

60 + 1x + 2x = 180°.

60 + 3x = 180°

3x = 180-60 = 120.

x = 120/3 .

x = 40°.

Measure of second angle is 40° and third angle

is of 80°.

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Answer 2

Let the other angle of triangle are x and y

So,

x+y=180-60

x+y=120.

Now,x/y=1/2

y=2x

Putting value of y=2x in equation 1st

x+2x=120

3x=120

x=120/3

x=40

Y=80

Hope it helps