Answer:
m<C = 45 degrees
m<A = 45 degrees
AC = sqrt 2
Step-by-step explanation:
Looking at the picture, we can see that the triangle given is an isosceles right triangle as there are two equal sides. If the two sides are congruent, then the angles would be congruent as well.
So, since angle B is 90 degrees.
90 + 2x = 180
180 - 90 = 2x
90 = 2x
x = 45
The angles of A and C would be 45 degrees each.
Then, to get the length of AC or the hypotenuse, we just use the Pythagorean Theorem which states that: a^2 + b^2 = c^2
In this case:
a = 1
b = 1
Plug our values in and solve for c.
1^2 + 1^2 = c^2
1 + 1 = c^2
2 = c^2
sqrt 2 = c