Question

Determine the value of x, y and ž in the following
figure:
8
40°
30°
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Answer 1

Answer:

x = 110°

y = 140°

z = 140°

Step-by-step explanation:

40° + x + 30° = 180° (Linear Pair)

70° + x = 180°

x = 180° - 70°

= 110°

40° + y = 180° (Linear Pair)

y = 180° - 40°

= 140°

y + z = 180° (Linear Pair)

140° + z = 180°

z = 180° - 140°

= 140°

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Answer 2

x + 40° + 30° = 180° ( Linear pair)

x + 70° = 180°

x = 110°

x + z + 30° = 180° (Linear pair)

110° + z + 30° = 180°

z + 140° = 180°

z = 40°

40° + y = 180° (Linear Pair)

y = 140°

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