(A) Two angles are supplementary if their sum is $180^{\circ}$.Given $\angle X : \angle Y = 23 : 13$,let $\angle X = 23k$ and $\angle Y = 13k$.Since t

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

$\angle X = 115^{\circ}, \angle Y = 65^{\circ}$

(A) Two angles are supplementary if their sum is $180^{\circ}$.Given $\angle X : \angle Y = 23 : 13$,let $\angle X = 23k$ and $\angle Y = 13k$.Since they are supplementary,$23k + 13k = 180^{\circ}$.$36k = 180^{\circ}$.$k = \frac{180^{\circ}}{36} = 5^{\circ}$.Therefore,$\angle X = 23 \times 5^{\circ} = 115^{\circ}$ and $\angle Y = 13 \times 5^{\circ} = 65^{\circ}$.

Class 9 Mathematics Lines and Angles Pairs of Angles

Medium

$\angle X$ and $\angle Y$ are supplementary angles. If $\angle X : \angle Y = 23 : 13$,then find $\angle X$ and $\angle Y$.

A
$\angle X = 115^{\circ}, \angle Y = 65^{\circ}$
B
$\angle X = 125^{\circ}, \angle Y = 55^{\circ}$
C
$\angle X = 105^{\circ}, \angle Y = 75^{\circ}$
D
$\angle X = 135^{\circ}, \angle Y = 45^{\circ}$

Explore More

Browse All

Question Bank

All Subjects

Class 9 Questions

Class 9

Mathematics Questions

Chapter

Lines and Angles

Subtopic

Pairs of Angles

$\angle A$ and $\angle B$ are supplementary angles. If $\angle A = 3x - 10^{\circ}$ and $\angle B = 2x + 30^{\circ}$,then find $\angle A$ and $\angle B$.

Medium

View Solution

In the following figure,in $\Delta ABC$,$\angle ABC = 70^{\circ}$ and $\angle ACB = 60^{\circ}$. Find $\angle ABD$ and $\angle ACE$.

Medium

View Solution

$\angle APC$ and $\angle BPD$ are vertically opposite angles. If $\angle APC = 3x - 20^{\circ}$ and $\angle BPD = 2x + 30^{\circ}$,then find $x$ and the measure of both angles.

Medium

View Solution

$\angle X$ and $\angle Y$ are complementary angles. If $\angle X = 4 \angle Y$,then find $\angle X$ and $\angle Y$.

Medium

View Solution

Find the measure of the complementary angle of an angle of $44^{\circ}$. (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

$\angle X$ and $\angle Y$ are supplementary angles. If $\angle X : \angle Y = 23 : 13$,then find $\angle X$ and $\angle Y$.

Similar Questions

$\angle A$ and $\angle B$ are supplementary angles. If $\angle A = 3x - 10^{\circ}$ and $\angle B = 2x + 30^{\circ}$,then find $\angle A$ and $\angle B$.

In the following figure,in $\Delta ABC$,$\angle ABC = 70^{\circ}$ and $\angle ACB = 60^{\circ}$. Find $\angle ABD$ and $\angle ACE$.

$\angle APC$ and $\angle BPD$ are vertically opposite angles. If $\angle APC = 3x - 20^{\circ}$ and $\angle BPD = 2x + 30^{\circ}$,then find $x$ and the measure of both angles.

$\angle X$ and $\angle Y$ are complementary angles. If $\angle X = 4 \angle Y$,then find $\angle X$ and $\angle Y$.

Find the measure of the complementary angle of an angle of $44^{\circ}$. (in $^{\circ}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module