Question

find the lettered angles in each case ​

Answer 1

Answer:

• x = 25°
• y = 80°
• z = 30°

Step-by-step explanation:

In ∆PAB

∠P + ∠PAB + z = 180° ( Angle sum property )

⇛ 50° + 100° + z = 180°

⇛ 150° + z = 180°

⇛ z = 180° - 150°

⇛ z = 30°

⇛ y + 100° = 180° ( linear pair )

⇛ y = 180° - 100°

⇛ y = 80°

In ∆ABC

y + x + ∠ACB = 180° ( Angle sum property )

⇛ 80° + x + 75° = 180°

⇛ 155° + x = 180°

⇛ x = 180° - 155°

⇛ x = 25°

Answer 2

Step-by-step explanation:

see the attached image above....

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