Question

Can anyone Answer This Question Plz?
Include The Steps In Your Answer And I Will Give You Brainliest

Answer 1

Answer:

60

Step-by-step explanation:

Answer 2

The answer of this question is  $\angle QRS=60\°$.

Step-by-step explanation:

We are given that line PQ and ST are parallel to each other as $PQ\parallel ST$ as we can see in figure and

$\angle PQR = 110\°$  

$\angle RST=130\°$

and we have to find the $\angle QRS$.

• Formula used,

1. The sum of co-interior angles is $=180\°$.
2. The Alternate Interior angles are equal.

• Calculation for $\angle QRS$

First of all making a parallel line to line ST through point R and let it be line AB.

Now the angles $\angle PQR$ and $\angle ARQ$ are Co-interior angles and by using formula (1) we get,

The sum of co-interior angles is $=180\°$

$\angle PQR +\angle ARQ=180\°$

we have $\angle PQR = 110\°$  and we can calculate $\angle ARQ$

$110\°+\angle ARQ=180\°$

$\angle ARQ=180\°-110\°$

$\angle ARQ=70\°$

we get $\angle ARQ=70\°$.

We know the angles $\angle RST and \angle SRA$ are Alternate interior angles thus by using formula (2) we get,

$\angle RST =\angle SRA$

and we have $\angle RST=130\°$ so,

$\angle SRA=130\°$

and we know $\angle SRA = \angle QRS+\angle ARQ$

we have

$\angle ARQ=70\°$ and $\angle SRA=130\°$ so we can find $\angle QRS$,

$\angle SRA = \angle QRS+\angle ARQ$

$130\°=\angle QRS+70\°$

$\angle QRS =130\°-70\°$

$\angle QRS=60\°$

Hence we get the answer of this question as $\angle QRS=60\°$.