Question

please solve this math problem​

Answer 1

Step-by-step explanation:

here is ur ans hope it helps

Answer 2

Given :

• ∠PQR = 110°
• ∠RST = 130°

To Find :

• ∠QRS

Solution :

Draw a line XRY // PQ and ST ..

$\longmapsto\tt{\angle{PQR}+\angle{QRX}=180\degree}$

$\longmapsto\tt{110\degree+\angle{QRX}=180\degree}$

$\longmapsto\tt{\angle{QRX}=180\degree-110\degree}$

$\longmapsto\tt\bf{\angle{QRX}=70\degree}$

Now ,

$\longmapsto\tt{\angle{TSR}+\angle{SRY}=180\degree\:(Co-interior\:Angles)}$

$\longmapsto\tt{130\degree+\angle{SRY}=180\degree}$

$\longmapsto\tt{\angle{SRY}=180\degree-130\degree}$

$\longmapsto\tt\bf{\angle{SRY}=50\degree}$

Also ,

$\longmapsto\tt{\angle{QRX}+\angle{QRS}+\angle{SRY}=180\degree(Angles\:on\:one\:line)}$

$\longmapsto\tt{70\degree+\angle{QRS}+50\degree=180\degree}$

$\longmapsto\tt{\angle{QRS}=180\degree-70\degree-50\degree}$

$\longmapsto\tt\bf{\angle{QRS}=60\degree}$