Question

Q9 If one angle of a triangle is 100° and the other angles are in the ratio of 2:3, find the angles.
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Answer 1

Answer:

Step-by-step explanation:

The sum of all the three angles will be 180 Degree

Let us assume triangle ABC

<A = 100 Degrees

Therefore <B + <C = 180 - 100

                              = 80 Degrees

Its is given that the other two angles are in the ratio 2:3

Therefore <B = 2 x (80/5)

                      = 2 x 16 = 32 Degrees

<C = 3 x (80/5)

     = 3 x 16 = 48 Degrees

So

<A = 100 Degrees

<B = 32 Degrees

<C = 48 Degrees

Answer 2

Answer:

32 and 48 are the other 2 angles

Step-by-step explanation:

We know that the total angle sum of a triangle is 180.

As the 1st angle is 100, the sum of other 2 angles must be 180-100= 80

Given the other 2 angles are in the ratio of 2:3, let the common factor be x

Thus,

2x+3x=80

5x=80

x=16

The angles are--->

2x=16*2= 32

3x=16*3= 48

Hope you understand!