Question

In the given figure, x = ?

• A. 25${}^{\circ }$
• B. 35${}^{\circ }$
• C. 45${}^{\circ }$
• D. 55${}^{\circ }$

Answer 1

The correct option is B

35${}^{\circ }$

∠A + ∠B + ∠C = 180${}^{\circ }$
(Sum of interior angles of a triangle is 180${}^{\circ }$)

$\Rightarrow$ x + 55${}^{\circ }$ + 90${}^{\circ }$ = 180${}^{\circ }$

$\Rightarrow$ x = 180${}^{\circ }$ − 145${}^{\circ }$

$\Rightarrow$ x = 35${}^{\circ }$