Question

What is the value of x in the figure?
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x =

Answer 1

The value of x in the given figure is,
`34^(\circ)`

Explanation:

Complementary angle states that the two angles sum up to 90 degree.

From the given figure

`x^(\circ)` and
`56^(\circ)` are complementary angles.

by definition of complementary angles;

`x^(\circ) +56^(\circ) = 90^(\circ)`

Subtract
`56^(\circ)` from both sides we get;

`x^(\circ) = 90^(\circ) -56^(\circ)`

Simplify:

`x = 34^(\circ)`

therefore, the value of x in the given figure is,
`34^(\circ)`