Mathematics

Two lines $AB$ and $CD$ intersect at $O$. If $\angle AOC={50}^{o}$, find $\angle AOD, \angle BOD$ and $\angle BOC$

SOLUTION
From the figure we know that $\angle AOC$ and$\angle AOD$ from a linear pair

It can also be written as

$\angle AOC+\angle AOD={ 180 }^{ o }$

By substituting the values

${50}^{o}+\angle AOD={ 180 }^{ o }$

$\angle AOD={ 180 }^{ o }-{50}^{o}$

$\angle AOD={130}^{o}$

According to the figure we know that $\angle AOD$ and $\angle BOC$ are vertically opposite angles

So we get

$\angle AOD=\angle BOC={ 180 }^{ o }$

According to the figure we know that $\angle AOC$ and $\angle BOD$ are vertically opposite angles

So we get

$\angle AOC+\angle BOD={50}^{o}$

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

Realted Questions

Q1 Single Correct Medium
Which statement is not true?
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• D. $\angle AOC$ and $\angle COE$ are complementary angles.

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Q2 Subjective Medium
Two supplementary angles differ by $22 ^ { 0 }$. Find the angles.

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In fig, if lines PQ and RS intersect at a point T such that $\angle PRT = 40 ^\circ$,$\angle RPT = 95 ^\circ$ and $\angle TSQ = 75 ^\circ$, find $\angle SQT$.

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Q4 Single Correct Medium
If the angles of a triangle are in the ratio 2:3:4, find the three angles.
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Q5 Subjective Medium
Read the following two statements which are taken as axioms:
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