Question

The ratio of the angle measures of the acute angles in a right triangle is 1:2

Answer 1

if a is a right angle, then b is bigger than c in a ratio of 2:1
180-90=90
there are 3 parts to the ratio (2+1) so we divide 90 by 3
90/3=30
b=2*30=60
c=1*30=30

Answer 2

A right triangle is a triangle with a 90 degree angle, correct?
Stemming from this, the other two have to add up to 90 degrees since a triangle, by definition, always has 180 degrees total in its interior angles.
Therefore, to find the other two angles you may use the algebraic equation 3x=90 (since there are three measurements of x - angle 1 is one and angle two is twice that)

So x= 30 - the triangle is a 30, 60, 90 with the side one being 30 and side two 60.

Answer 3

The measure of one angle of a triangle is 40. The measures of the 2 angles are in a ratio of 3:4