Mathematics

In the figure given above, $$PQ$$ is parallel to $$RS$$. What is the angle between the lines $$PQ$$ and $$LM$$?


ANSWER

$$180^{\circ}$$


SOLUTION
R.E.F image
Given: $$PQ \parallel RS$$
since, $$PQ \parallel RS$$
By applying alternate 
angle property 
$$\angle PQR = \angle QRS = 55^o$$       ...(1)
and $$\angle MLR + \angle SRL = 180^o$$
Therefore, $$LM \parallel  RS$$     ...(2)
(sum of interior angle property)
Therefore, from eq.
(1) and (2)
$$PQ \parallel LM$$
Therefore, from sum of interior angle property 
the angle between the lines $$PQ$$ and $$LM = 180^o$$
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!


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

Realted Questions

Q1 Single Correct Medium
Which of the following pairs is pair of interior formed by two parallel lines and on the same side of the transversal?
  • A. $${30^0},{60^0}$$
  • B. $${60^0},{130^0}$$
  • C. $${50^0},{120^0}$$
  • D. $${30^0},{150^0}$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q2 Subjective Medium
$${ \left( y-20 \right)  }^{ 0 }$$ and $${ \left( y+30 \right)  }^{ 0 }$$ are complementary angles of each other, then find the measure of each one. 

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q3 Single Correct Medium
At which one of the following times is the angle between the hands of the clock equal to one straight angle?
  • A. $$12 : 00$$
  • B. $$8 : 43$$
  • C. $$8 : 00$$
  • D. $$12 : 30$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q4 One Word Medium
In the figure given above, if $$ AC= AD= CD= BD $$; then $$\angle ABC $$ is $$ 30.5^{\circ} $$
If true then enter $$1$$ and if false then enter $$0$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q5 Single Correct Medium
In the given figure, $$a$$ is greater than $$b $$ by two third of a right angle. The values of $$a $$ and $$b$$  are
  • A. $$100^\circ,\, 80^\circ$$
  • B. $$105^\circ,\, 75^\circ$$
  • C. $$90^\circ,\, 90^\circ$$
  • D. $$120^\circ,\, 60^\circ$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer