The measure of one angle of a right triangle is 50 degrees more than the measure of the smallest angles Find the measures of all three angles

Question

What are the measures if all the theee angles of the triangle

 

Answer 1

The wording of this question does not exclude the 90 degree angle from being the "one angle" that is 50 degrees more than the smallest angle. So the one angle could be 90 degrees making the smallest angle 40 degrees and the third angle is 50 degrees!

Answer 2

Since this is a right triangle we know we have a 90^o angle.

We also know that the 3 angles of a triangle add to 180^o

 

90 + x + (x+50) = 180

2x + 140 = 180

2x = 40

x = 20

x+50 = 70

 

The 3 angles are:  20, 70, 90 degrees