Find n -if angle A- - 11n- - 13-circ- and angle B- - 7n- - 39-circ-where A and B are vertically opposite angles-14-circ-52-circ-13-circ-130-circ-

Question

Toppr Admin · Accepted Answer

-x2220-A-x2220-B -Vertically opp- angles-x21D2-11n-x2212-13-x2218-7n-39-x2218-x21D2-11n-x2212-7n-39-x2218-13-x2218-x21D2-4n-52-x2218-x21D2-n-13-x2218-

Find n ,if $∠ A = 11 n - 13^{\circ}$ and $∠ B = 7 n + 39^{\circ}$ ,where A and B are vertically opposite angles.
$14^{\circ}$
$52^{\circ}$
$13^{\circ}$
$130^{\circ}$

$∠ A = ∠ B$ (Vertically opp. angles)
$\Rightarrow 11 n - 13^{\circ} = 7 n + 39^{\circ}$
$\Rightarrow 11 n - 7 n = 39^{\circ} + 13^{\circ}$
$\Rightarrow 4 n = 52^{\circ}$
$\Rightarrow n = 13^{\circ}$

Find n ,if ∠A=11n−13∘ and ∠B=7n+39∘,where A and B are vertically opposite angles.14∘52∘13∘130∘

∠A=∠B (Vertically opp. angles)⇒11n−13∘=7n+39∘⇒11n−7n=39∘+13∘⇒4n=52∘⇒n=13∘

Find n ,if $∠ A = 11 n - 13^{\circ}$ and $∠ B = 7 n + 39^{\circ}$ ,where A and B are vertically opposite angles.
$14^{\circ}$
$52^{\circ}$
$13^{\circ}$
$130^{\circ}$

$∠ A = ∠ B$ (Vertically opp. angles)
$\Rightarrow 11 n - 13^{\circ} = 7 n + 39^{\circ}$
$\Rightarrow 11 n - 7 n = 39^{\circ} + 13^{\circ}$
$\Rightarrow 4 n = 52^{\circ}$
$\Rightarrow n = 13^{\circ}$