Mathematics

Find the value of $x$

SOLUTION
Let fourth angle be $M$
$\angle M=180°-105°\\ \quad=75°$
$y+M=180°\\y+75°=180°\\ \Rightarrow y=180°-75°\\y=105°\\x=75°$
(Opposite angle of parallelogram)
$z=105°$
(Opposite angles of parallelogram)

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 figure, lines $l$ and $m$ intersect each other at a point. Which of the following is false?
• A. $\angle a= \angle b$
• B. $\angle d =\angle c$
• C. $\angle a+ \angle d=180^o$
• D. $\angle a=\angle d$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Single Correct Medium
ABC is a triangle with base BC and $\angle ABC=60^\circ$.Through A, a straight line PQ is drawn parallel to BC . If $\angle QAC=55^\circ$, Find the measure of $\angle BAC$ and $\angle ACB$.
• A.  $\angle BAC = 60^\circ$  and $\angle ACB = 60^\circ$
• B.  $\angle BAC = 55^\circ$  and $\angle ACB = 65^\circ$
• C. Insufficient Data
• D. $\angle BAC = 65^\circ$ and $\angle ACB = 55^\circ$

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020

Q3 Single Correct Medium
In the given figure, $PQ, RS$ and $UT$ are parallel lines. If $c = 75^{\circ}$ and $a = (2.5)c$, find $b + d/2$.
• A. $92^{\circ}$
• B. $115^{\circ}$
• C. $135.5^{\circ}$
• D. $112.5^{\circ}$

Asked in: Mathematics - Straight Lines

1 Verified Answer | Published on 17th 08, 2020

Q4 Single Correct Medium
$\displaystyle \angle 1$ and $\displaystyle \angle 2$ are adjacent angles.
It is given that $\displaystyle \angle AOB={ 140 }^{ o }$. What is value of $\displaystyle \angle 1+\angle 2$.
• A. $210^o$
• B. $230^o$
• C. $240^o$
• D. $220^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
Choose the correct option.
$91^{\circ}$ is
• A. Acute angle
• B. Obtuse angle
• C. Reflex angle
• D. none of these

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020