in the given rectangle ABCD (fig 2),BP=BC.what is the measure angle PCD(isska answer hai 45 hai plz pura links)
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170
ABCD is a rectangle
So all the angles are 90°
So,
Angle PBC = 90° and BCD = 90°
And Δ PBC is an isocels triangle
So angle BPC = BCP
Angle ( BPC + BCP + PBC ) = 180°
Angle ( BPC + BPC + PBC ) = 180°
Angle ( 2BPC + 90° ) = 180°
Angle ( 2BPC ) =180° -90°
Angle ( BPC ) = 90°/2
Angle BPC = 45°
So angle BCP = 45°
Angle PCD = 90° - Angle BCP
Angle PCD = 90°- 45°
Angle PCD = 45°
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So all the angles are 90°
So,
Angle PBC = 90° and BCD = 90°
And Δ PBC is an isocels triangle
So angle BPC = BCP
Angle ( BPC + BCP + PBC ) = 180°
Angle ( BPC + BPC + PBC ) = 180°
Angle ( 2BPC + 90° ) = 180°
Angle ( 2BPC ) =180° -90°
Angle ( BPC ) = 90°/2
Angle BPC = 45°
So angle BCP = 45°
Angle PCD = 90° - Angle BCP
Angle PCD = 90°- 45°
Angle PCD = 45°
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Answered by
18
abcd is a rectangle
let we take all the angles be 90°
angle PBC= 90° and BCD = 90°
ANGLE BPC + BCP + PBC
ANGLE BPC + BPC + PBC= 180°
ANGLE 2BPC + 90°=180°
angle 2BPC =180°-90°
angle 2bpc = 90°
angle BPC = 90°
angle BPC =90°/2
angleBPC =45°
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