Mathematics

In Fig., $$AB \parallel CD$$. Find the reflex $$\angle EFG$$.


SOLUTION
In given figure, $$AB$$ parallel to $$l$$ and $$EF$$ is a transversal.
$$\therefore \angle 1 =34^o$$  ... Alternate interior angles
Now, $$CD$$ parallel to $$l$$ and $$FG$$ is a transversal.
$$\therefore \angle 2+135^o=180^o$$  ...Co-interior angles
$$\Rightarrow \angle 2 =180^o-135^o$$
$$\Rightarrow \angle 2 =45^o$$
Also,
$$ \angle EFG = \angle 1 + \angle 2 =34^o+45^o$$
$$\Rightarrow \angle EFG=79^o$$
The reflex of $$\angle EFG$$
$$\Rightarrow \angle EFG=360^o-79^o$$
$$\Rightarrow \angle EFG=281^o$$
View Answers

You're just one step away

Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here!


Subjective Medium Published on 09th 09, 2020
Next Question
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86
Enroll Now For FREE

Realted Questions

Q1 TRUE/FALSE Medium
State whether the following statement is true or false.
In the given figure, if $$x+y=w+z$$, then AOB is a line.
  • A. False
  • B. True

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 23rd 09, 2020

View Answer
Q2 Single Correct Medium
In the figure above, two line segments meet at a point on line $$l$$. Find the value of $$x$$.
  • A. $$60$$
  • B. $$90$$
  • C. $$15$$
  • D. $$45$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q3 Single Correct Medium
If two adjacent angles are equal, then each angle measures $$90^o$$.
  • A. True
  • B. Ambiguous
  • C. Data Insufficient
  • D. False

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q4 Subjective Medium
Prove that, if a line is perpendicular to one of the two parallel lines, then it is perpendicular to the other line also.

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 23rd 09, 2020

View Answer
Q5 TRUE/FALSE Medium
Say True or False.
The measure of an obtuse angle $$< 90^{\circ}$$.
  • A. True
  • B. False

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer