Question

2.6) If one angle of a triangle is 100° and the other two are in the ratio of 2:3,
find the angles of the triangles.​

Answer 1

Answer:

100°, 32° and 48°

Step-by-step explanation:

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Answer 2

Answer:

The other 2 angles are 32° and 48°

Step-by-step explanation:

Sum of all angles of a triangle = 180°

One angle = 100°

So, sum of other 2 angles = 180 - 100 = 80°

Ratio of other 2 angles = 2:3 .... (eq.1)

Let other 2 angles be 2x and 3x.

According to eq.1)... 2x + 3x = 80

Which means that 5x = 80, so, x = 80/5 = 16

Therefore, x = 16

So now, 2x = 16*2 = 32

3x = 16*3 = 48

So, 2:3 = 32:48

Therefore the measure of other 2 angles = 32° and 40°