Question

please answer my question.
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Answer 1

$\huge{\underline{ \underline{ \color{blue}ans} \color{grey}wer}}$

Since,

AB || XY

therefore,

angle ABZ = angle XCZ = 66°

(being corresponding angles)

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Since,

XCY is a line

therefore,

angle XCZ + angle YCZ = 180°

putting angle XCZ = 66°

66° + angle YCZ = 180°

angle YCZ = 180° - 66° = 114°

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In ∆ CZY by angle sum property of triangle

angle CZY + angle YCZ + angle CYZ=180°

36° + 114° + angle CYZ = 180°

angle CYZ = 180° - 36° - 114°

angle CYZ = 30°

therefore,

angle XYZ = 30° . ( Ans.)

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Answer 2

Step-by-step explanation:

Since,

AB || XY

therefore,

angle ABZ = angle XCZ = 66°

(being corresponding angles)

________________________

Since,

XCY is a line

therefore,

angle XCZ + angle YCZ = 180°

putting angle XCZ = 66°

66° + angle YCZ = 180°

angle YCZ = 180° - 66° = 114°

________________________

In ∆ CZY by angle sum property of triangle

angle CZY + angle YCZ + angle CYZ=180°

36° + 114° + angle CYZ = 180°

angle CYZ = 180° - 36° - 114°

angle CYZ = 30°

therefore,

angle XYZ = 30° . ( Ans.)

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