What is the value of x

Question

the image is an triangle.

15
25
x

you should get x = 16

show work

Answer 1

We can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to find the measure of angle opposite to x.

We know that the angles opposite to 15 and 25 degrees are 90 and 65 degrees, respectively, because they form a right triangle.

Therefore,

90 degrees + 65 degrees + x degrees = 180 degrees

155 degrees + x degrees = 180 degrees

Subtracting 155 from both sides, we get:

x degrees = 25 degrees

Thus, x has a value of 16, and this is the solution.