#### Passage

It is given that $l || m$ to prove $\angle 1$ is supplement to $\angle 8$. Write reasons for the statement.
Mathematics

# Statement                                                    Reason$\angle 1$ is supplement to $\angle 8$   .......................

##### SOLUTION
Reason $:$
$\angle 1=\angle 5$   (Corresponding angles as $l||m$)
$\angle 5+ \angle 8={ 180 }^{ \circ }$   (Supplementary angles made on a line made at a point)
Put $\angle 5 = \angle 1$
$\angle 1+\angle 8 ={ 180 }^{ \circ }$
So $\angle1$ is supplement to $\angle8$

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Subjective Medium Published on 09th 09, 2020
Mathematics

# Statement                                    Reason$\angle 1 + \angle 8 = 180^o$   .......................

##### SOLUTION
Reason $:$
$\angle 1=\angle 5$   (Corresponding angles as $l||m$)
$\angle 5+ \angle 8={ 180 }^{ \circ }$   (Supplementary angles made on a line at a point)
Put $\angle 5 = \angle 1$
$\angle 1+\angle 8 ={ 180 }^{ \circ }$

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Subjective Medium Published on 09th 09, 2020
Mathematics

# Statement                                       Reason$\angle 5 + \angle 8 = 180^o$    ........................

##### SOLUTION
It is given that $l||m$ to prove $\angle 1$ is supplement to $\angle 8$.
 Statement Reason $\angle 5+\angle 8=180^{\circ}$ it is clear that $\angle 5$ and $\angle 8$ are linear pairs that's why $\angle 5+\angle 8=180^{\circ}$

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Subjective Medium Published on 09th 09, 2020
Mathematics

# Statement                            Reason$l || m$                       .......................

##### SOLUTION
$\angle 5+\angle 8={180}^{\circ}$ (Straight angles made on line $AB$ at $C$)
$\angle1=\angle5$ (Corresponding angles)
Put $\angle 5=\angle1$
$\Rightarrow \angle1+\angle8={180}^{\circ}$
Hence proved that $\angle 1$ is supplement to $\angle8$

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Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 87

#### Realted Questions

Q1 TRUE/FALSE Medium
$\overset {\leftrightarrow}{AB}$ and $\overset {\leftrightarrow}{CD}$ intersects each other at point $O$. Measure of one angle formed by intersection is $120^{\circ}$, then the measure of another three angles are $60^{\circ}$,$120^{\circ}$,$60^{\circ}$.
• A. False
• B. True

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1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
Find the complement of the following angle:
$60^\circ$

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1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
In figure, if $AB\parallel CD$, then find the value of $x$
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• D. $36^o$

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Q4 Single Correct Medium
Mark the correct alternative of the following.
In figure, if AOB and COD are straight lines. Then, $x+y=?$
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1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
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Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020