Question

plz give me full solution of this . answers are given .. irrelevant answers will be reported. ryt answer will be marked as brainliest.. ​

Answer 1

Answer:

y = 85°

x = 95°

z = 50°

Step-by-step explanation:

∠DCF + ∠y = 180° [supplementary angles]

∠1 = ∠DCF [corresponding angles]

∠1 + ∠y = 180°

95° + ∠y = 180°

∠y = 180° - 95° = 85°

∴∠y = 85°

∠x + ∠y = 180° [supplementary angles]

∠x + 85° = 180°

∠x = 180° - 85° = 95°

∴x = 95°

In ΔABC ,

∠2 + ∠x + ∠z = 180° [angle sum property of triangles]

35° + 95° + ∠z = 180°

130° + ∠z = 180°

∠z = 180° - 130° = 50°

∠z = 50°

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