Question

In the figure given below, p || q. Find the unknown angles using appropriate properties. Question 5

Answer 1

Step-by-step explanation:

For line p,

angel PVT+angel TVQ=180° (linear pair)

angel e +125°=180°

angel e = 180°-125°

angel e=55°

Now ,for line PQ &UT

angel QVO =angel PVT(vertically opposite angel)

angel f= angel e

angel f= 55°

now for line p & q

with transversal TU

angel PVT=angel ROV(corresponding

angel)

angel e=angel a

55°= angel a

angel a=55°

angel SOV=angel TVD (Corresponding angel)

angel d= 125°

Now for lines q and UT

angel a= angel c (Vertically opposite angel)

55°=angel c

angel c=55°

Also,

angel d= angel b. (vertically opposite angel)

125°= angel b

angel b=125°

Answer 2

Hola mate

Here is your answer..

For line p,

angle PVT + angel TVQ=180° (linear pair)

angle e +125°=180°

angle e = 180°-125°

angle e=55°

Now ,for line PQ &UT

angle QVO =angle PVT(vertically opposite angle)

angle f= angle e

angle f= 55°

now for line p & q   with transversal TU

angle PVT=angle ROV(corresponding   angle)

angle e=angle a

55°= angle a

angle a=55°

angle SOV=angle TVD (Corresponding angle)

angle d= 125°

Now for lines q and UT

angle a= angel c (Vertically opposite angle)

55=angle c

angle c=55°

Also,

angle d= angle b. (vertically opposite angle)

125°= angle b

angle b=125°

Hope it helps you!