Question

The ratio of the angle measures of the acute angles in a right triangle is 1:2 . What is the measures of these angles a. 30 and 60 b. 45 and 90 c. 60 and 120 d. 10 and 20

Answer 1

a triangle has 3 angles, together they add up to 190 degrees. in a right triangle there is one angle that is 90 degrees, meaning the other two add up to 90 degrees. the ratio between them is 1:2 a 1/3 of 90 is 30 degrees meaning one angle is 1*30= 30 and the second is 2*30=60 -> the correct answer is "a"