Question

What is the value of x in the figure?
Enter your answer in the box.
x=

Answer 1

68

Explanation:

`\hookrightarrow \: x + 22 = 90(complementary \: angles) \\`

`\hookrightarrow \: x + 22 = 90 \\ \hookrightarrow \: x = 90 - 22 \\ \hookrightarrow \: x = 68`

Answer 2

A little square marked on angle means that the angle is 90 degrees.

By the vertical angle theorem, angles opposite each other are equal thus the angle opposite the angle with the little square is also 90 degrees.

That angle is split into two angles that is off measure 22 degrees and x degrees

-- x + 22 = 90 --> x = 68.

Hope that helps!