Answer:
x is equal to 55 degrees.
Step-by-step explanation:
In order to find this, we must first realize that the angle next to 160 is equal to 20 degrees. This is because they come together to make a straight line, which is equal to 180 degrees.
Now knowing this, we can find the two congruent angles at the top. Since they form one angle of a large triangle along with the right angle and 20 degrees, we know they combine to be worth 70 degrees. Since they are even, we know each is 35 degrees.
For the final step, we know that the 35 degree angle and 90 degree angle form a triangle with x. Knowing these all add up to 180, we can solve for x.
35 + 90 + x = 180
125 + x = 180
x = 55
