Mathematics

In figure, lines $l_1$ and $l_2$ intersect at $O$, forming angles as shown in the figure. If $x=45^o$, find the values of $y, z$ and $u$.

SOLUTION
Given, $x=45^o$

As per the diagram, two lines $l_1$ & $l_2$ intersected to form two pairs of vertically opposite angles.

$x = z$  -- (1)

$u = y$  --(2)

From (1)

$x = z=45^o$ .

We also know that the sum of all the angles around a point is $360^o$

$x+u+z+y=360^o$

$45+u+45+u=360^o$

$90+2u=360^o$

$2u=270^o$

$u=135^o$

=>$y=135^o$

$\therefore$ $x = 45^o, z=45^o, u=135^o$ and $y=135^o$.

You're just one step away

Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

Realted Questions

Q1 Single Correct Medium
In the given figure, $AB$ and $DE$ are perpendicular to $BC$. If $AB=9cm, DE=3cm$ and $AC=24cm$, calculate $AD$.
• A. $17cm$
• B. $18cm$
• C. $19cm$
• D. $16cm$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Single Correct Medium
Sum of two obtuse angle results in:
• A. Acute angle
• B. Right angle
• C. Obtuse angle
• D. Reflex angle

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
In fig find the values of $x$ and $y$ and then show that $AB \parallel CD$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q4 Single Correct Medium
In the given figure $\displaystyle m\ ||\ l\ || n$ and $\overrightarrow{PT}||\overrightarrow{QR}$. If $\displaystyle \angle TUV=x,\angle QRS=y\: \: and\: \: \angle QVW=z$ then which of the following is necessarily true?
• A. $\displaystyle x> y=z$
• B. $\displaystyle x< y=z$
• C. Cannot be determined
• D. $\displaystyle x= y=z$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q5 Single Correct Medium
Out of the three lines AB, CD and EF, if AB is parallel to EF and CD is also parallel to EF, then what is the relation between AB and CD?
• A. $AB \perp CD$
• B. Data Insufficient
• C. None of these
• D. $AB\parallel CD$

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020