The answer is A. POQ is a line segment. ∴ ∠ POQ = 180^∘ ⇒ ∠ POA + ∠ AOB + ∠ BOQ = 180^∘ ⇒ 40^∘ + 4x + 3x = 180^∘ [ Putting ∠ POA = 40^∘, ∠ AOB = 4 ...

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Byju's Answer

Standard X

Mathematics

Angles Subtended by an Arc at the Centre Is Twice the Angle Subtended at the Circumference

A 20∘B 25∘C 3...

Question

Question 6
In the figure, POQ is a line. The value of x is:

A) $20^{\circ}$
B) $25^{\circ}$
C) $30^{\circ}$
D) $35^{\circ}$

Name: EXEMP - Grade 09 - Mathematics - Lines and Angles - Q6
Uploaded: 2022-07-04T10:36:42+05:30
Description: The answer is A. POQ is a line segment. ∴ ∠ POQ = 180^∘ ⇒ ∠ POA + ∠ AOB + ∠ BOQ = 180^∘ ⇒ 40^∘ + 4x + 3x = 180^∘ [ Putting ∠ POA = 40^∘, ∠ AOB = 4 ...

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Solution

The answer is A.

POQ is a line segment.
$∴ ∠ P O Q = 180^{\circ} \Rightarrow ∠ P O A + ∠ A O B + ∠ B O Q = 180^{\circ} \Rightarrow 40^{\circ} + 4 x + 3 x = 180^{\circ} [P u t t i n g ∠ P O A = 40^{\circ}, ∠ A O B = 4 x a n d ∠ B O Q = 3 x] \Rightarrow 7 x = 180^{\circ} - 40^{\circ} \Rightarrow 7 x = 140^{\circ} \Rightarrow x = \frac{140^{\circ}}{7} ∴ x = 20^{\circ}$

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Similar questions

In the given figure, $∠ O A B = 75^{\circ}, ∠ O B A = 55^{\circ}$ and $∠ O C D = 100^{\circ}$ . Then, $∠ O D C = ?$

$(a) 20^{\circ}$

$(b) 25^{\circ}$

$(c) 30^{\circ}$

$(d) 35^{\circ}$

Q. Question 6
In the figure, POQ is a line. The value of x is:

20^{\circ}

25^{\circ}

30^{\circ}

35^{\circ}

Let A = {10, 15, 20, 25, 30, 35, 40, 45 } 50 , B = { 1, 5,10,15, 20, 30} and C = { 1, 5,15, 20, 35, 45, }. Verify $A ∖ (B \cap C) = (A ∖ B) \cup (A ∖ C)$ .