Question

please solve this in on page and add it to the attachment​

Answer 1

Answer:

ok

Step-by-step explanation:

y=100 x =80

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Answer 2

Answer:

The measures of angles x and y are 80° and 100° respectively.

Step-by-step-explanation:

In figure,

• m∠CAD = 80°

As BC is a line segment,

By angles in linear pair property,

∴ m∠CAD + m∠BAD = 180°

⇒ 80° + m∠BAD = 180°

⇒ m∠BAD = 180° - 80°

⇒ m∠BAD = 100°

Now, AB ∥ DF and AD is transversal,

By interior angles property,

∴ m∠BAD + m∠FDA = 180°

⇒ 100° + m∠FDA = 180°

⇒ m∠FDA = 180° - 100°

⇒ m∠FDA = 80°

Now, AP is a line segment,

By angles in linear pair property,

∴ m∠FDA + m∠FDP = 180°

⇒ 80° + y° = 180°

⇒ y° = 180° - 80°

⇒ y° = 100°

Now, AP ∥ EF and BC is transversal,

By interior angles property,

∴ m∠BAD + m∠ABF = 180°

⇒ 100° + m∠ABF = 180°

⇒ m∠ABF = 180° - 100°

⇒ m∠ABF = 80°

Now, line segments EF and BC intersect each other at point B,

By vertically opposite angles property,

∴ m∠ABF = m∠EBQ

⇒ 80° = x°

⇒ x° = 80°

∴ The measures of angles x and y are 80° and 100° respectively.