Question

The two smallest interior angles of a right triangle have measures of (3m)° and (2m – 5)°. What is the value of m?

Answer 1

Answer:

3m+2m-5=180

5m=180-5

m=175/5

m=35

Answer 2

The two smallest interior angles of a right triangle have measures of (3m)° and (2m – 5)° Then the value of m is 19

Solution:

We have two interior angles of a right angle triangle (3m)° and (2m-5)°

But we also know that in a right angle triangle , one angle =90° and sum of two other angles =90°

So according to question  

Sum of given two interior angles = 90

(3m) + (2m - 5) = 90

On simplification we get,

5m - 5 =90

5m = 95

m = 19

Hence the value of "m" is 19

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