Answer:
[tex]c = 65[/tex]
[tex]x = 158[/tex]
Step-by-step explanation:
In the first triangle, one of the angles are already given to us, the 25. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.
[tex]90 + 25 = 115 \\ 180 - 115 = 65[/tex]
In the second triangle, one of the angles are already given to us, the 68. But the other angle is 90 degrees because it's a right angle. A right angle measures 90 degrees. We now add both the numbers together and subtract it from 180 to find the answer. We are subtracting it from 180 because a triangle equals 180 degrees.
[tex]68 + 90 = 158 \\ 180 - 158 = 22[/tex]
We figured out all the angles inside the triangle.
68, 90, and 22. We need to find the exterior angle. Remmeber that Consecutive angles are supplementary. The 22 and the x are one a straight line. A straight line equals 180 degrees. You are going to subtract 22 from 180 to get your answer.
[tex]180 - 22 = 158[/tex]
If you wanted to write it as an equation and solve it, it would be:
[tex]22 + x = 180[/tex]
