Mathematics

# In the given figure, $PQ || RT$. Find the value of ${a} + {b}$.

##### SOLUTION
applying angle sum property in triangle PQR,

$\angle PRQ+\angle RQP+\angle QPR=\quad 180^{ O }$

$\angle PRQ+45^{ O }+55^{ O }=\quad 180^{ O }$

$\angle PRQ=\quad 80^{ O }$

$\angle PRQ+\angle QRT+\angle TRS=\quad 180^{ O }$ (angles forming a straight line)

$80^{ o }+a+b=180^{ o }$

$a+b=100^{ o }$

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
The number of lines of symmetry when two line segments intersect is
• A. 1
• B. 3
• C. 4
• D. 2

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
Find the value of x in each of the following figures.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
Two lines $AB$ and $CD$ intersect at a point $O$ such that $\angle BOC+\angle AOD={280}^{o}$, as shown in the figure. Find all four angles.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Subjective Medium
In the above sided figure,if $QT \bot PR.,\angle TQR=40^o$ and $\angle SPR=30^o$,find $x$ and $y$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
List three other situations where reflex angles may be seen.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020