Question

plzzzzz solve this fast... Q.30​

Answer 1

angle QOF=3x+10

But angle QOF=GTP(by corresponding angle)

Hence GTP=3x+10............(1)

Also,

angle TNS=angle GTP=2x+25...........(2)

Now but GTP=TNS

3x+10=2x+25

x=15°

Hence angle TNS= 15+25=40°

But TNS=MNH=40°

Answer 2

∠GTP = ∠TNS = 2x + 25   (Corresponding Angles are equal)

∠GTO = 180 - ∠GTP = 180 - (2x+25) = 180 - 2x - 25 = 155-2x  (Supplementary angles)

∠FOQ = ∠GTO Corresponding angles)

⇒ 3x+10 = 155-2x

⇒ 3x+2x = 155-10

⇒ 5x = 145

⇒ x =145/5

⇒ x = 29°

∠MNH = ∠TNS (Vertically opposite angles)

= 2x+25 = (2*29)+25 = 58+25 = 83°

hope it helps you...

please mark it as brainliest...

^_^