Answer:
The value of x in the given figure is, [tex]34^{\circ}[/tex]
Step-by-step explanation:
Complementary angle states that the two angles sum up to 90 degree.
From the given figure
[tex]x^{\circ}[/tex] and [tex]56^{\circ}[/tex] are complementary angles.
by definition of complementary angles;
[tex]x^{\circ} +56^{\circ} = 90^{\circ}[/tex]
Subtract [tex]56^{\circ}[/tex] from both sides we get;
[tex]x^{\circ} = 90^{\circ} -56^{\circ}[/tex]
Simplify:
[tex]x = 34^{\circ}[/tex]
therefore, the value of x in the given figure is, [tex]34^{\circ}[/tex]
