Question

In a right triangle the measures of the acute angle are in the ratio 2:3. What is the measure of the smaller angle?

@JuanitaM

Answer 1

what is the sum of the 2 acute angles?

Answer 2

It only says the ratio which is 2:3.

Answer 3

it also says the triangle is a right triangle

Answer 4

I am guessing that it is like this:

Answer 5

@JuanitaM

Answer 6

I agree with your set up.
set all 3 angles to equal 180 and solve for x

x = 18
smaller angle is 2x = 36 dgrees

Answer 7

the sum of the 2 acute angles = 90
2x + 3x = 90
5x = 90
x = 18
2x = 36 degrees