Mathematics

In the figure.$A B \parallel C D$ , $\angle P T B = 55 ^ { \circ }$ and $\angle D V S = 45 ^ { \circ }$. Find sum of $\angle \mathrm { CUQ }$ and $\angle R T P$ is :

SOLUTION
Given $AB\parallel CD\angle PTB=55^{o}, \angle DVS=45^{o}$

Find : $\angle CUQ+\angle RTP$

If $AB\parallel CD$ then,

$\angle VTB=\angle DVS=45^{o}$  [corresponding angles]

According to lines pair of angles

$\angle RTP+\angle PTB+\angle VTB=180^{o}$

$\angle RTP+55^{o}+45^{o}=180^{o}$

$\angle RTP=80^{o}$

Then, $\angle ATC=\angle PTB=55^{o}$ (vertically opposite angles)

If $AB\parallel CD$, then

$\angle CUQ=\angle ATC=55^{o}$

$\therefore \angle CUQ +\angle RTP=55^{o}+80^{o}=135^{o}$ 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 Subjective Medium
In figure 6, what value of $Y$ will make $POQ$ a straight line,

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
If $A,B,C$ are the angles of a triangle, show that
$\sin{B}\cos{(C+A)}+\cos{B}\sin{(C+A)}=0$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
How many pairs of adjacent angles are formed when two lines intersect in a point?
• A. 2
• B. 8
• C. 6
• D. 4

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
OA and OB are opposite rays.
If $x=75^o$, what is the value of y?
• A. $75^o$
• B. $45^o$
• C. $15^o$
• D. $105^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
Find the angle which is $56^o$ more than its complement
• A. $83$
• B. $45$
• C. $68$
• D. $73$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020