(C) Since $POQ$ is a straight line,the sum of the angles on one side of the line at point $O$ is $180^{\circ}$ (Linear Pair Axiom).Therefore,we have:$

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(C) Since $POQ$ is a straight line,the sum of the angles on one side of the line at point $O$ is $180^{\circ}$ (Linear Pair Axiom).Therefore,we have:$40^{\circ} + 4x + 3x = 180^{\circ}$$40^{\circ} + 7x = 180^{\circ}$$7x = 180^{\circ} - 40^{\circ}$$7x = 140^{\circ}$$x = 140^{\circ} / 7$$x = 20^{\circ}$

Class 9 Mathematics Lines and Angles Mix Examples - Lines and Angles

Easy

In the given figure,$POQ$ is a straight line. The value of $x$ is: (in $^{\circ}$)

A
$35$
B
$30$
C
$20$
D
$25$

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Lines and Angles

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Mix Examples - Lines and Angles

$A$ triangle $ABC$ is right-angled at $A$. $L$ is a point on $BC$ such that $AL \perp BC$. Prove that $\angle BAL = \angle ACB$.

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Prove that a triangle must have at least two acute angles.

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Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

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In the given figure,which of the two lines are parallel and why?

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$\angle PQR$ and $\angle PQS$ are a linear pair of angles. If $11 \angle PQR = 9 \angle PQS$,then find $\angle PQR$ and $\angle PQS$.

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In the given figure,$POQ$ is a straight line. The value of $x$ is: (in $^{\circ}$)

Similar Questions

$A$ triangle $ABC$ is right-angled at $A$. $L$ is a point on $BC$ such that $AL \perp BC$. Prove that $\angle BAL = \angle ACB$.

Prove that a triangle must have at least two acute angles.

Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

In the given figure,which of the two lines are parallel and why?

$\angle PQR$ and $\angle PQS$ are a linear pair of angles. If $11 \angle PQR = 9 \angle PQS$,then find $\angle PQR$ and $\angle PQS$.

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