Question

please help to solve​

Answer 1

Answer:

p+q+r=180 degree 60+95=155 180-155 =25

Answer 2

$\Large{\underline{\underline{\mathfrak{ \maltese \: Given :}}}}$

• AB||CD
• ∠APR = 95°
• ∠DRQ = 60°

$\:$

$\Large{\underline{\underline{\mathfrak{ \maltese \: To \: Find :}}}}$

• The value of ∠PRQ.

$\:$

$\Large{\underline{\underline{\mathfrak{ \maltese \: Solution :}}}}$

AB||CD and QR is a transversal.

∴ ∠PQR = ∠QRD = 60°ㅤ$\sf{ [alternate \: angles ] }$

──

Now, AB||CD and PR is a transversal.

∴ ∠DRP = ∠APR = 95°ㅤ$\sf{ [alternate \: angles] }$

⇒ ∠QRD + ∠PRQ = 95°

⇒ 60° + ∠PRQ = 95°

⇒ ∠PRQ = (95° - 60°) = 35°

Hence, the value of ∠PRQ is 35°.