Mathematics

In the given figure, the two lines $$AB$$ and $$CD$$ intersect at a point $$O$$ such that $$\angle BOC={125}^{o}$$. Find the values of $$x,y$$ and $$z$$


SOLUTION
From the figure we know that $$\angle AOC$$ and $$\angle BOC$$ form a linear pair of angles

so it can be written as

$$\angle AOC+\angle BOC={ 180 }^{ o }$$

by substituting the values  we get

$$x+{125}^{o}={ 180 }^{ o }$$

$$x={55}^{o}$$

from the figure we know that $$\angle AOD$$ and $$\angle BOC$$ are vertically opposite angles

so we get

$$y={125}^{o}$$

from the figure we know that $$\angle BOD$$ and $$\angle AOC$$ are vertically opposite angles 

so we get

$$z={55}^{o}$$

therefore the values of $$x,y,z$$ are $${55}^{o},{125}^{o},{55}^{o}$$
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 Subjective Medium
The measures of two supplementary angles are $$(3x+15)^{o}$$ and $$(2x+5)^{o}$$. Find $$x$$.

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q2 Single Correct Medium
The number of obtuse angle in figure is
  • A. $$2$$
  • B. $$3$$
  • C. $$4$$
  • D. $$5$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q3 One Word Medium
What value of $$y$$ would make $$AOB$$ a line in Fig., if $$ \angle AOC = 4y $$ and $$\angle BOC = \left ( 6y+30 \right )?$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q4 Single Correct Medium
An exterior angle of a triangle is equal to the sum of two ______ opposite angles.
  • A. exterior
  • B. vertical
  • C. none of these
  • D. interior

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q5 Single Correct Medium
Angle ABC in the following figure is a/an:
  • A. acute angle
  • B. obtuse angle
  • C. reflex angle
  • D. straight angle

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer