Question

please solve with steps​

Answer 1

$\mathbb\red{∠QRS=60°}$

$\large\boxed{\fcolorbox{red}{pink}{HOW?¿?}}$

• Draw a line AV parallel to ST/PQ .

• ∠RST + ∠SRV = 180° ⇒ Angles same side of a transversal are Supplement to each other .

• As we know ∠RST = 130°, ∠SRV = 50° (180 - 130)

• ∠PQR + ∠QRA = 180° ⇒ Angles same side of a transversal are Supplrment to each other .

• As we know ∠PWR = 110°, ∠QRP = 70° (180 - 110)

• Consider the line AV (180°)

∠ARQ + ∠QRS + ∠SRV = 180°

⇒ Straight line = 180

• 70 + ∠QRS + 50 = 180

∠QRS = 180 - (70 + 50)

∠QRS = 180 - 120

$\large\underline{\overline{\mid{\bold{\pink{∴~∠QRS=60°}}\mid}}}$