(A) Since $\angle ABC$ and $\angle ABD$ form a linear pair,their sum is $180^{\circ}$.Let $\angle ABC = 17x$ and $\angle ABD = 13x$.Therefore,$17x + 1

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(A) Since $\angle ABC$ and $\angle ABD$ form a linear pair,their sum is $180^{\circ}$.Let $\angle ABC = 17x$ and $\angle ABD = 13x$.Therefore,$17x + 13x = 180^{\circ}$.$30x = 180^{\circ}$,which gives $x = 6^{\circ}$.Now,$\angle ABC = 17 \times 6^{\circ} = 102^{\circ}$.And $\angle ABD = 13 \times 6^{\circ} = 78^{\circ}$.

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

Medium

$\angle ABC$ and $\angle ABD$ are a linear pair of angles. If $\angle ABC : \angle ABD = 17 : 13$,then find $\angle ABC$ and $\angle ABD$.

A
$102^{\circ}$ and $78^{\circ}$
B
$103^{\circ}$ and $77^{\circ}$
C
$100^{\circ}$ and $80^{\circ}$
D
$92^{\circ}$ and $65^{\circ}$

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Lines and Angles

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Mix Examples - Lines and Angles

In the given figure,if $AB \parallel CD$,$\angle PCD = 130^{\circ}$ and $\angle PBA = 140^{\circ}$,then find $\angle BPC$. (in $^{\circ}$)

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State whether the following statement is true or false:
$(1)$ In $\Delta PQR$,$\angle P = \angle Q = 95^{\circ}$ is possible.

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In $\Delta PQR$,$\angle P : \angle Q : \angle R = 5 : 2 : 2$. Find the measure of each angle of $\Delta PQR$.

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In $\Delta ABC$,$\angle B = \frac{\angle A + \angle C}{2}$ and $\angle A : \angle C = 1 : 2$. Find the measure of each angle of $\Delta ABC$.

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

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$\angle ABC$ and $\angle ABD$ are a linear pair of angles. If $\angle ABC : \angle ABD = 17 : 13$,then find $\angle ABC$ and $\angle ABD$.

Similar Questions

In the given figure,if $AB \parallel CD$,$\angle PCD = 130^{\circ}$ and $\angle PBA = 140^{\circ}$,then find $\angle BPC$. (in $^{\circ}$)

State whether the following statement is true or false:$(1)$ In $\Delta PQR$,$\angle P = \angle Q = 95^{\circ}$ is possible.

In $\Delta PQR$,$\angle P : \angle Q : \angle R = 5 : 2 : 2$. Find the measure of each angle of $\Delta PQR$.

In $\Delta ABC$,$\angle B = \frac{\angle A + \angle C}{2}$ and $\angle A : \angle C = 1 : 2$. Find the measure of each angle of $\Delta ABC$.

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

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State whether the following statement is true or false:
$(1)$ In $\Delta PQR$,$\angle P = \angle Q = 95^{\circ}$ is possible.