find the value of angles x y z in each of the following figures
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Answer:
3z = 81°
2z = 54°
x = 45°
y = 135°
Step-by-step explanation:
3z + 2z + 45° = 180° (Linear Pair)
5z + 45° = 180°
5z = 180° - 45°
5z = 135°
z = 135°/5
z = 27
3z = 3 × 27°
= 81°
2z = 2 × 27°
= 54°
3z + 2z + x = 180° (Linear Pair)
81° + 54° + x = 180°
135° + x = 180°
x = 180° - 135°
x = 45°
x + y = 180° (Linear Pair)
45° + y = 180°
y = 180° - 45°
y = 135°
Hence, 3z = 81°
2z = 54°
x = 45°
y = 135°
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