Answer:
x = 116
Step-by-step explanation:
We can name the angles as follows:
So, taking into account the figure, the sum of angle A and the angle with measure 26 is equal to 90. Then, the value of angle A is:
A + 26 = 90
A + 26 - 26 = 90 - 26
A = 64
Then, angles A and B are part of an isosceles triangle. So, the measure of them is the same:
B = A
B = 64
Finally, the sum of angles B and x is 180 degrees because they form a straight line. So, the value of x is:
B + x = 180
64 + x = 180
64 + x - 64 = 180 - 64
x = 116
Therefore, the answer is x = 116