Find the measure of angle x- 40 - o - 110 - o - 45 - o - 65 - o -

Question

Toppr Admin · Accepted Answer

-x2220-ABE -xA0-x2220-ABD - 180-xA0-linear pair-x2220-ABD - 70-x2220-ABD -xA0-x2220-ADB -xA0-x2220-BAD - 180-x2220-BAD - 40-x2220-BAC-180-x2212-25-x2212-70-85-angle BAD -xA0-angle DAC - 85-x2220-DAC -xA0-angle x-85-x2212-40-45

Find the measure of $∠ x$ .

$40^{o}$
$110^{o}$
$45^{o}$
$65^{o}$

$∠ A B E$ + $∠ A B D$ = $180$ (linear pair)
$∠ A B D$ = $70$
$∠ A B D$ + $∠ A D B$ + $∠ B A D$ = 180
$∠ B A D$ = $40$
$∠ B A C = 180 - 25 - 70 = 85$
$\angle BAD + \angle DAC = 85$
$∠ D A C$ = \angle x $= 85 - 40 = 45$

Find the measure of ∠x.40o110o45o65o

∠ABE + ∠ABD = 180 (linear pair)∠ABD = 70∠ABD + ∠ADB + ∠BAD = 180∠BAD = 40∠BAC=180−25−70=85$\angle BAD + \angle DAC = 85$∠DAC = \angle x=85−40=45

Find the measure of $∠ x$ .

$40^{o}$
$110^{o}$
$45^{o}$
$65^{o}$

$∠ A B E$ + $∠ A B D$ = $180$ (linear pair)
$∠ A B D$ = $70$
$∠ A B D$ + $∠ A D B$ + $∠ B A D$ = 180
$∠ B A D$ = $40$
$∠ B A C = 180 - 25 - 70 = 85$
$\angle BAD + \angle DAC = 85$
$∠ D A C$ = \angle x $= 85 - 40 = 45$