(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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(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 Pairs of 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 $65^{\circ}$

Explore More

Browse All

Question Bank

All Subjects

Class 9 Questions

Class 9

Mathematics Questions

Chapter

Lines and Angles

Subtopic

Pairs of Angles

The difference between the supplementary angle and the complementary angle of any acute angle is............. (in $^{\circ}$)

Easy

View Solution

$\angle ABD$ and $\angle DBC$ are adjacent angles. If $\angle ABD = 1.5x^{\circ}$,$\angle DBC = 2x^{\circ}$,and $\angle ABC = 70^{\circ}$,then find $x$ and the measures of $\angle ABD$ and $\angle DBC$.

Medium

View Solution

In the figure,the side $QR$ of $\Delta PQR$ is produced to a point $S$. If the bisectors of $\angle PQR$ and $\angle PRS$ meet at point $T$,then prove that $\angle QTR = \frac{1}{2} \angle QPR$.

Medium

View Solution

$\angle A$ and $\angle B$ are complementary angles. If $\angle A = \angle B - 20^{\circ}$,then find $\angle A$ and $\angle B$.

Medium

View Solution

If one of the two angles of a linear pair has measure $75^{\circ}$,the measure of the other is $\ldots \ldots \ldots$ (in $^{\circ}$)

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$\angle ABC$ 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

The difference between the supplementary angle and the complementary angle of any acute angle is............. (in $^{\circ}$)

$\angle ABD$ and $\angle DBC$ are adjacent angles. If $\angle ABD = 1.5x^{\circ}$,$\angle DBC = 2x^{\circ}$,and $\angle ABC = 70^{\circ}$,then find $x$ and the measures of $\angle ABD$ and $\angle DBC$.

In the figure,the side $QR$ of $\Delta PQR$ is produced to a point $S$. If the bisectors of $\angle PQR$ and $\angle PRS$ meet at point $T$,then prove that $\angle QTR = \frac{1}{2} \angle QPR$.

$\angle A$ and $\angle B$ are complementary angles. If $\angle A = \angle B - 20^{\circ}$,then find $\angle A$ and $\angle B$.

If one of the two angles of a linear pair has measure $75^{\circ}$,the measure of the other is $\ldots \ldots \ldots$ (in $^{\circ}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module