Question

Pls Explain. Thank you.

Answer 1

Answer:

$x = 65 \: degrees \: \: \: \: \: y = 35 \: degrees \: \: \: \: z = 80 \: \: \: degrees.$

Step-by-step explanation:

EXPLANATION IS IN THE PHOTO.

Answer 2

Answer:

x = 65°

y = 35°

z = 80°

Step-by-step explanation:

/_ ACB and /_ ACE are forming linear pair.

/_ACE = /_ ACD + /_DCE

=35° + 65° = 100°

/_ ACB + /_ ACE = 180°

/_ACB + 100° = 180°

/_ACB= 180° - 100° = 80°

Thus, z = 80°

BA ll CD, AC is the transversal.

/_BAC and /_ACD are alternate interior angles.

Thus, /_BAC = /_ACD = 35°

Therefore, y = 35°

By angle dum property,

/_BAC + /_BCA + /_ABC = 180°

35° + 80° + /_ABC = 180°

115° + /_ABC = 180°

/_ABC = 180° - 115° = 65°

Thus, x = 65°