XYZ is a right angled isosceles triangle in which angle XYZ = 90°.
YZ has been produced to A. Verify that angle XZA = 3 angle XZY.
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Answer:
∠XZY=∠YXZ=45°(ANGLE OPPOSITE TO EQUAL SIDES)
∠YZX+∠XZA=180(LINEAR PAIR)
SO∠XZA+45°=180°
∠XZA=135°
SO∠XZA=3∠XZY
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