Mathematics

In figure, $POS$ is a line, find $x$.

SOLUTION
Given,
$\angle POQ = 60^o$
$\angle QOR= 4x$
$\angle ROS = 40^o$

We know that, the sum of all the angles in a straight line is $180^o$

According to the figure,
$\angle POQ+\angle QOR+ \angle ROS = 180^o$
$60^o+4x+40^o=180$
$100+4x=180^o$
$4x=80^o$
$x=20^o$

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 Single Correct Medium
In given figure which one of the following angle is a straight angle
• A. $\angle AOB$
• B. $\angle AOD$
• C. $\angle BOC$
• D. $\angle BOD$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Single Correct Medium
In the figure above, if $\overline{BC}||\overline{DE}$, what is the value of x?
• A. $30^o$
• B. $40^o$
• C. $110^o$
• D. $70^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q3 Subjective Medium
In the adjacent figure $\overrightarrow{OP}, \overrightarrow{OQ}, \overrightarrow{OR}$ and $\overrightarrow{OS}$ are four rays. Prove that
$\angle POQ + \angle QOR + \angle SOR + \angle POS = 360^o$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Subjective Medium
In the given figure, find $\angle PQR$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
The measure of $q$ in the  given figure is :
• A. $118^{\circ}$
• B. $90^{\circ}$
• C. $84^{\circ}$
• D. $152^{\circ}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020