(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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Class 9

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Lines and Angles

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Mix Examples - Lines and Angles

An angle is $40^{\circ}$ less than its supplementary angle,then its measure is $\ldots \ldots \ldots .$ (in $^{\circ}$)

Easy

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In the figure,$\angle 1 = 60^{\circ}$ and $\angle 6 = 120^{\circ}$. Show that the lines $m$ and $n$ are parallel.

Medium

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The sum of the three angles of a triangle is $\ldots \ldots \ldots$ (in $^o$)

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The supplementary angle of the complementary angle of an angle having measure $32^{\circ}$ has measure.......... (in $^{\circ}$)

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In the figure,if $OP \parallel RS,$ $\angle OPQ = 110^{\circ}$ and $\angle QRS = 130^{\circ},$ then $\angle PQR$ is equal to: (in $^{\circ}$)

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

Similar Questions

An angle is $40^{\circ}$ less than its supplementary angle,then its measure is $\ldots \ldots \ldots .$ (in $^{\circ}$)

In the figure,$\angle 1 = 60^{\circ}$ and $\angle 6 = 120^{\circ}$. Show that the lines $m$ and $n$ are parallel.

The sum of the three angles of a triangle is $\ldots \ldots \ldots$ (in $^o$)

The supplementary angle of the complementary angle of an angle having measure $32^{\circ}$ has measure.......... (in $^{\circ}$)

In the figure,if $OP \parallel RS,$ $\angle OPQ = 110^{\circ}$ and $\angle QRS = 130^{\circ},$ then $\angle PQR$ is equal to: (in $^{\circ}$)

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