Question

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Perfect Answer ​

Answer 1

Answer:

Solution : Y + 45 = 180

( interior angels on the same side )

y = 180 - 45

y = 135 °

..... x = y = 135 .....

<EAB + <FEA = 180

90 + z + 45 = 180

135 + z = 180°

Z = 45°

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Answer 2

Answer:

x = 135°, y = 135°, z = 45°

Step-by-step explanation:

i) AB//EF , transversal BE.

<x + <BEF =180°

/* Sum of the interior angles same side of the transversal*/

=> x + 45° = 180°

=> x = 180° - 45° = 135°--(1)

ii) AB//CD, transversal BE.

y = x = 135° ----(2)

/* Corresponding angles */

iii )EA perpendicular to AB.( given )

EF perpendicular to EF.

z + <BEF = 90°

=> z + 45° = 90°

=> z = 90° - 45° = 45° ---(3)

Therefore,

x = 135°, y = 135°, z = 45°

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