Question

12. In the given figure, AB || CD || EF and AD || BE.
Find x,y and z.
give reasons ​

Answer 1

Answer:

x= 35*[ angle B + angle A= 180*]

y= 115*[angle A = angle D{ alternate interior angles}]

z= 65*[angle B = angle E{ alternate interior angles}]

Answer 2

Step-by-step explanation:

AB || CD

AD is a transversal

angle BAD = angle ADC ( alternate interior angle)

y ° = 115 °

AD || BE

AB is a transversal

angle DAB + angle ABE = 180 ° ( co - interior angle )

115 ° + X° + 30 ° = 180 °

X ° = 180 ° - 115 ° - 3O °

X ° = 180 ° - 145 °

x° = 35 °

AB || EF

BE is a transversal

angle ABE = angle BEF

x° + 30 ° = z°

35 ° + 30 ° = 65 °