Question

find x,y,z in the following figure.
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Answer 1

To Find x :

70 + 60 + x = 180 ( angle sum property )

130 + x = 180

x = 180 - 130 = 50

To Find y :

x + y = 180 ( Linear Pair )

50 + y = 180

y = 180 - 50

y = 130

(or)

y = 60 + 70 ( Exterior Angle property )

y = 130

To Find z :

30 + y + z = 180 ( angle sum property )

30 + 130 + z = 180

160 + z = 180

z = 180 - 160

z = 20

Final Answer :

x = 50

y = 130

z = 20

Answer 2

Answer:

x = 50°

y = 130°

z = 20°

Step-by-step explanation:

∠A +∠B + ∠C = 180° (In Δ ABC)

60° + 70° + x = 180° (Angle Sum Property)

130° + x = 180°

x = 180° - 130°

x = 50°

x + y = 180° (Linear Pair)

50° + y = 180°

y = 180° - 50°

y = 130°

30° + y + z = 180° (Angle Sum Property)

30° + 130° + z = 180°

160° + z = 180°

z = 180° - 160°

z = 20°

Hence, x = 50°

y = 130°

z = 20°