Question

Two angles in a triangle are in the ratio 2:3. If the sum of these angles is equal to the third angle, then the third angle is ________.
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Answer 1

Answer:

EXPLANATION:

explanation step by step

let  the angles be 2x and 3x

let the third angle be t

therefore 2x + 3x + t = 180°        #as you know all the angles in the triangles when summed will equal to 180°

t = 2x+3x

=>5x

=>  5x + 5x = 180°   # we replaced t with 5x as we now know that t = 5x

=> 10x = 180°

=> x = 180°/10

=> x = 18

Now remember first angle was 2x

therefore first angle is 36

Again remember the second angle we labeled as 3x

so therefore it is 18 by 3 which is 54

Again remember t = 5x

therefore t = 90

So now you got all the angles

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