#### Passage

Ray PR and ray PQ are perpendicular to each other. The point B is in the interior of $\angle QPR$ and a point A is in the exterior of $\angle RPQ$ such that ray PB and ray PA are perpendicular to each other. Draw the figure and write down the number of pairs of:
Mathematics

# Congruent angles

2

##### SOLUTION
The pair of Congruent angles are:
$1.\angle QPR \equiv \angle BPA$ [each angle is $90^0$]
$2. \angle QPR = \angle BPA$ [as given]
$\angle QPB +\angle BPR=\angle BPR+\angle RPA$ [using addition property]
so, $\angle QPB = \angle RPA$
i.e. $2$ pairs.

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One Word Medium Published on 09th 09, 2020
Mathematics

# Supplementary angles

1

##### SOLUTION
The pair of Supplementary angles is:
$1. \angle QPR +\angle BPA=180^0$ [as both are given as $90^0$]
$1$ pair.

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One Word Medium Published on 09th 09, 2020
Mathematics

# Complementary angles

2

##### SOLUTION
The pairs pf Complementary angles are:
$1.$ $\angle RPB + \angle BPQ=90^0$
$2.$ $\angle BPR+\angle RPA=90^0$
Hence there are $2$ pairs of complementary angles.

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One Word Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

#### Realted Questions

Q1 Subjective Medium
In the figure , $PQSR$ is a parallelogram.
$PQ=4.3cm$ and $QR=2.5cm$. Is $\triangle PQR\equiv \triangle PSR$?

Asked in: Mathematics - Congruence of Triangles

1 Verified Answer | Published on 23rd 09, 2020

Q2 Subjective Medium
State whether the following triangles are congruent or not? Give reasons for your answer.

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
In the figure, if $AB\parallel CD,\angle APQ={ 50 }^{ }$ and $\angle PRD={ 127 }^{ }$, find $x$ and $y$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q4 Single Correct Medium
$\angle\, A$ is supplementary to $\angle\, B,\, \angle\, B$ is complementary to $\angle\, C$. If $\angle\, A\, =\, 118^\circ$, what is the measure of $\angle\, C$ ?
• A. $62^\circ$
• B. $34^\circ$
• C. $118^\circ$
• D. $28^\circ$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
In figure if $l \left \| m,n \right \|p$, and $\angle 1 = 85^{\circ}$, the $\angle 2$ is
• A. $85^{\circ}$
• B. $180^{\circ}$
• C. $75^{\circ}$
• D. $95^{\circ}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020