Question

in the adjoining figure pq||rs find x and y ​

Answer 1

$\large \maltese {\pmb{\mathfrak{ \: \: Given:}}}$

Given that PQ || RS.

$\large \maltese{\pmb{\mathfrak { \: \: To \: find:}}}$

We have to find the values of x and y.

$\large \maltese \: \: {\pmb{\mathfrak{Solution:}}}$

Finding a :

• $\tt 65\degree+a=180\degree~[Linear~pair]$
• $:\implies \tt a=180\degree-65\degree$

$\bold{ \therefore~a=115\degree}$

Finding y :

• $\tt 25\degree+y=30\degree+115\degree=180\degree~[Co-interior~angles]$
• $:\implies \tt 170\degree+y=180\degree$
• $:\implies \tt y=180\degree-170\degree$

$\bold{\therefore~y=10\degree}$

Now, finding x :

• $\tt a+x+y=180\degree~[Angle~sum~property]$
• $:\implies \tt 115\degree+x+10\degree=180\degree$
• $:\implies \tt 125\degree+x=180\degree$
• $:\implies \tt x=180\degree-125\degree$

$\bold{ \therefore x=55\degree}$

Answer 2

Step-by-step explanation:

x =70°

y= 20°

SEE the attachment

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