Question

Hey!! help me with this above question...full explanation

find the value of x....

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Answer 1

Answer:

x = 75

Explanation:

angle A + angle C = exterior angle B ( by theorem :- 1 exterior angle is equal to 2 opposite interior angle)

x + x = 150°

2x = 150

x = 150/2

x = 75°

Answer 2

$\sf \Large Solution!!$

$\sf \large Construct:$

$\sf \to Mark\:an\:angle\:y\:as\:shown.$

$\sf \large So,$

$\sf \to 150^{\circ}+y=180^{\circ}\quad (Linear\:pair)$

$\sf \to y=180^{\circ}-150^{\circ}$

$\sf \to y=30^{\circ}$

$\sf \large Now,$

$\sf \to 30^{\circ}+x+x=180^{\circ}\quad (Angle\:sum\:property\:of\:triangle)$

$\sf \to 30^{\circ}+2x=180^{\circ}$

$\sf \to 2x=180^{\circ}-30^{\circ}$

$\sf \to 2x=150^{\circ}$

$\sf \to x=75^{\circ}$

Thanks for asking!! :)