Question

1. In the given figure,
AB || CD. If angle1 = (2x + y)0 and angle 6 = (3x - y)0, then find the measure of angle 2 in terms of y.​

Answer 1

Step-by-step explanation:

Angle 2 would be equal to angle 6 as in parallel lines corresponding angle are equal so angle 2 is equal to(3x-y)

Answer 2

Answer:

108-y

Step-by-step explanation:

AB||CD

ANGLE 1 = ANGLE 7= (2x+y) Alternate angles

Angle 6 + Angle 7 =180 degrees ...Co interior angles.

3x-y+2x+y=180 degrees

5x=180 degrees

x = 36 degrees

Angle 6 = 3x-y = 3×36-y

= 108-y

Angle 6 = Angle 2= 108-y.....Corresponding Angles