Question

b) find supplement of the angles:

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Answer 1

Answer:

The value of x is 95

The value of y is 120

The value of z is 60

Answer 2

In the top 3 angles

By Linear pair;

60° + x + 25° = 180°

⇒ x + 85° = 180°

⇒ x = 180 - 85

⇒ x = 95°

Also, by Linear pair;

x + z = 180°

⇒ 95° + z = 180°

⇒ z = 180° - 95°

⇒ z = 85°

Now in the bottom 2 angles;

By Linear pair,

y + z = 180°

⇒ y + 85° = 180°

⇒ y = 100° - 85°

⇒ y = 15°

Additional information

• Linear pair of Angles states that all 3 angles on a straight-line sum up to 180°
• Angle Sum property states that the sum of all angles in a triangle is 180°
• In the above question, we have searched for all possible straight lines and applied linear pair