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Exterior Angle Theorem

Question 9 In...

Question

Question 9
In the given figure, the value of x is

(a) $110^{\circ}$
(b) $46^{\circ}$
(c) $64^{\circ}$
(d) $150^{\circ}$

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Solution

$∴ 100^{\circ} + 46^{\circ} + 64^{\circ} + x = 360^{\circ} \Rightarrow 210^{\circ} + x = 360^{\circ} \Rightarrow x = 360^{\circ} - 210^{\circ} \Rightarrow x = 150^{\circ}$

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Similar questions

Q. Question 9
In the given figure, the value of x is

110^{\circ}

46^{\circ}

64^{\circ}

150^{\circ}

Q. In the given figure, PQ || RS, ∠AEF = 95°, ∠BHS = 110° and ∠ABC = x°. Then the value of x is

(a) 15°

(b) 25°

(c) 70°

(d) 35°

Question 14
In the given figure, POQ is a line. If $x = 30^{\circ} t h e n ∠ Q O R$ is

(a) $90^{\circ}$
(b) $30^{\circ}$
(c) $150^{\circ}$
(d) $60^{\circ}$

In the given figure, if $A E ∥ D C$ and $A B = A C,$ the value of $∠ A B D$ is

(a) $70^{\circ}$

(b) $110^{\circ}$

(c) $120^{\circ}$

(d) $130^{\circ}$

Question 8

In the given figure, PB = PD. The value of x is

a) $85^{\circ}$
b) $90^{\circ}$
c) $25^{\circ}$
d) $35^{\circ}$

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Exterior Angle Theorem

Standard VIII Mathematics

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