Mathematics

# How many pairs of adjacent angles, in all, can you name in figure?

##### SOLUTION
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
So, $point\ O$ is a common vertex for all angles.
When $OD$ is common side,
$\angle EOD\ and\ \angle AOD,\ \angle EOD\ and\ \angle BOD,\ \angle EOD\ and\ \angle COD$ are pair of adjacent angles.
Similarly, when $OC$ is common side,
$\angle EOC\ and\ \angle AOC,\ \angle EOC\ and\ \angle BOC,\ \angle DOC\ and\ \angle AOC,\ \angle DOC\ and\ \angle BOC$ are pair of adjacent angles.
When $OB$ is common side,
$\angle AOB\ and\ \angle EOB,\ \angle AOB\ and\ \angle BOD,\ \angle AOB\ and\ \angle COB$ are pair of adjacent angles.

You're just one step away

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

#### Realted Questions

Q1 Subjective Hard
If figure, if AB$||$DE, $\angle$BAC$=35^o$ and $\angle$CDE$=53^o$, then find the value of $\angle$DCE.

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020

Q2 Single Correct Medium
Which of the following is a reflex angle?
• A. $\displaystyle { 180 }^{ o }$
• B. $\displaystyle { 360 }^{ o }$
• C. $\displaystyle { 204 }^{ o }$
• D. $\displaystyle { 135 }^{ o }$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
Two angles the sum of whose measure is $90^{\circ}$ are called ______ angles
• A. Supplementary
• B. Corresponding
• C. None of these
• D. Complimentary

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
In the given figure, the value of $x$ that will make $AOB$ a straight line is
• A. $x=40$
• B. $x=30$
• C. $x=25$
• D. $x=36$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
What is an Obtuse Angle ?

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020