Question

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

Answer 1

Answer:

The value of x in the given figure is, $34^{\circ}$

Step-by-step 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, $34^{\circ}$