Question

Give the steps with properties of transversals.

Answer 1

Answer:

x = 20°

y = 45°

Step-by-step explanation:

Given:

DE║BC

angle DAB = 180° -( x - 60) [linear pair ]

Hence 180° - (∠ x-60)° = ∠3 x + 40°

[alternate angles]

120°- x  = 3 x + 40°

==>4 x = 120 -4 0

==> 4 x= 80°

==> x=80/4

==> x=20°

angle EAC = 180 - ( 2 y + 25) [linear pair ]

180°-(∠2 y + 25°)=∠y + 20°

[alternate angles]

==> 155 - 2 y = y + 20

==> 3 y = 155 - 20

==> 3 y= 135

==> y =135/3

==> y = 45°

If there is a mistake do comment below.

Hope it helps you

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