What is the value of x of the acute angles of a right triangle measure 8x and 12x? A.2
B. 4.5
C. 7
D. 9.5

B. 4.5

Step-by-step explanation:

The sum of all interior angles of a triangle is 180 degrees

Since we know it is a right triangle, there is one angle that is 90 degrees

The acute angles are given as 8x and 12x

Add them up and isolate x to find the value of it

8x + 12x + 90 = 180   1. Add like terms

20x + 90 = 180           2. Subtract by 90 on both sides

20x = 90                       3. Divide by 20 on both sides

x = 4.5

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180