b) find supplement of the angles:
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Answer:
The value of x is 95
The value of y is 120
The value of z is 60
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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
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