Mathematics

In the figure given $L_1$ and $L_2$ are parallel. The sum of the angles $\alpha, \beta, \gamma$ marked in the diagram is:

$360^0$

SOLUTION
Extend the line AO to $OA^{'}$

$\Rightarrow \angle OA^{'} B=180-\alpha$

$\Rightarrow \angle A^{'} OB=180-\beta$

$\Rightarrow \angle A^{'} OB=180-\gamma$

As $OA^{'} B$ is a triangle, sum of its angles =180 degrees

$\Rightarrow 540-(\alpha +\beta +\gamma) =180$

$\Rightarrow \alpha +\beta +\gamma =360$ You're just one step away

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

Realted Questions

Q1 Subjective Medium
An angle $10^{0}$ more than three times its complementary angle. Then find the angles.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 TRUE/FALSE Medium
One obtuse angle and one acute angle can make a pair of supplementary angles.
• A. False
• B. True

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
$\displaystyle 179^{\circ}$ is an example of :
• A. obtuse
• B. acute
• C. right
• D. None of the above

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
Mark the correct alternative of the following.
If the measures of the angles of a triangle are $(2x)^o, (3x-5)^o$ and $(4x-13)^o$. Then the value of x is?
• A. $18$
• B. $20$
• C. $30$
• D. $22$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
The difference of two complementary angles is $30^o$. Then, the angles are
• A. $70^o, 40^o$
• B. $20^o, 50^o$
• C. $105^o, 75^o$
• D. $60^o, 30^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020