Mathematics

If two lines intersect and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are ..


SOLUTION
In the given figure,
Given angle is 10501050
x+1050=1800x+1050=1800
x=18001050=750x=1800−1050=750
But x+y=1800x+y=1800              (Sum of co-interior angles)
750+y=1800⇒750+y=1800           (Sum of co-interior angles)
y=1800750=1050⇒y=1800−750=1050
Similarly, y+z=1800y+z=1800   (Sum of co-interior angles)
1050+z=1800⇒1050+z=1800
z=18001050=750⇒z=1800−1050=750
Hence, x=750,y=1050,z=750
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 Subjective Medium
Show that the angles of an equilateral triangle are $$60^o$$ each 

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q2 TRUE/FALSE Medium
State true or false:
In $$\displaystyle \Delta ABC$$, D and E are the points on sides AB and AC respectively. If $$AB= 9 cm, AD= 4 cm, AE=6 cm$$ and $$EC= 7.5 cm$$, then $$DE \parallel BC$$.
  • A. False
  • B. True

Asked in: Mathematics - Straight Lines


1 Verified Answer | Published on 17th 08, 2020

View Answer
Q3 Subjective Medium
In figure, line n is a transversal to lines $$l$$ and $$m$$. Identify the following alternate and corresponding angles in figure.

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q4 Single Correct Medium
At $$4:15$$, the angle formed between the two hands of a clock is:
  • A. obtuse
  • B. right angle
  • C. none of these
  • D. acute

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q5 Subjective Medium
Read the following two statements which are taken as axioms:
(i) If two lines intersect each other, then the vertically opposite angles are not equal.
(ii) If a ray stands on a line, then the sum of two adjacent angles so formed is equal to $$180^0$$.
Is this system of axioms consistent? Justify your answer.

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer