Question

In first x by 2 and x by 3
in second 2x and x by 2​

Answer 1

Step-by-step explanation:

(a) The first one is a right angle . So :

$\frac{x}{2} + \frac{x}{3}$ = 90°

⇒ $\frac{3x+2x}{6}$ = 90°

⇒ $\frac{5x}{6}$ = 90°

⇒ x = $\frac{90*6}{5}$ = 108°

∴ ∠AOB = x/2 = 54°

∠BOC = x/3 = 36°

(b) The second one is a straight angle . So :

$2x +\frac{x}{2}$ = 180°

⇒ $\frac{4x + x}{2}$ = 180°

⇒  $\frac{5x}{2}$ = 180°

⇒ x = $\frac{180*2}{5}$ = 72°

∴ ∠AOB = 2x = 144°

∠BOC = x/2 = 36°