Mathematics

In the given figure, $AB$ and $CD$ are straight lines through the centre $O$ of a circle. If $\angle AOC=80^o$ and $\angle CDE=40^o$, find $\angle ABC$

SOLUTION
We know that $\angle AOC$ and $\angle BOC$ from a linear pair

It can be written as

$\angle BOC =180^o -80^o$

By subtraction

$\angle BOC =100^o$

Using the angle sun property

$\angle ABC +\angle BOC +\angle DCE =180^o$

By substituting the values

$ABC +100^o +50^o +=180^o$

On further calculation

$\angle ABC=180^o-100^o -50^o$

By subtraction

$\angle ABC =180^o -150^o$

So we get

$\angle ABC =30^o$

You're just one step away

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

Realted Questions

Q1 Subjective Medium
Find the supplement of the following angle.
$135^o$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
Find the angle which is five times its supplement.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
In the figure.$A B \parallel C D$ , $\angle P T B = 55 ^ { \circ }$ and $\angle D V S = 45 ^ { \circ }$.
Find sum of $\angle \mathrm { CUQ }$ and $\angle R T P$ is :

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
The angle which exceeds its complement by $20^o$ is:
• A. $45^o$
• B. $70^o$
• C. $110^o$
• D. $55^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 One Word Medium
$\text{Mesure of an angle given below. Find the measure of its supplementary angles}$
$\displaystyle \frac{3}{5}th \space of \space a \space right \space angle \space triangle$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020