Question

find y-x
with full steps

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Answer 1

Answer:

35

Step-by-step explanation:

5x-20=3x+40 (corresponding angle)

5x-3x=40+20

2x=60

x=60/2

x=30

2y=5x-20 (vertically opposite angle)

2y=5×30-20

2y=150-20

2y=130

y=130/2

y=65

Now,

y-x = 65-30 = 35

Answer 2

Answer:

Here, The value of y-x is 30°.

Step-by-step explanation:

Here, As per our given question,

=(5x-20°)+(3x+40°)=180° (Corresponding angles have sum equal to 180°)

=8x+20°=180°

=8x=180°-20°

=x=160°/8

=x=20°

So, Angles=(5×20°-20°)=100°-20°=80°

=(3×20°+40°)=60°+40°=100°

Now,2y°+(5x-20°)=180° (Vertically opposite angles have sum of 180°)

=2y°+80°=180°

=2y=100°

=y=100°/2

=y=50°

Now, As per our question,

=y-x=

=50°-20°

=30°

So, Here The value of y-x=30°.

Thank you.