Question

Two right triangles are congruent. Find the value of x.

right triangle with angle of 33 degrees, right triangle with angle of 9 x minus 15 degrees
Select one:
a. 5
b. 6
c. 8
d. 12

Answer 1

Given that the two right triangles are congruent, there are two possibilities.

9x - 15 is equal to the angle 33° or 9x - 15 is equal to the other angle of the first triangle.

Let's probe with the first option:

9x - 15 = 33 => 9x = 33 + 15 = 48

=> x = 48 / 9 = 5,33, which is no in the list of options.

Now, let's probe the second option.

The other angle of the first right triangle is 90° - 33° = 57°

Then, 9x - 15 = 57

=> 9x = 57 + 15 = 72

=> x = 72 / 9 = 8

Which is the option c. 8.

So, I am sure that if you have a figure it will be compatible with that answer, else yet the procedure to find the answer is what I have used here.

Answer: option c. 8