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4. In the figure, AB || CD and PQ || RS. Find the values of x,y and z. |
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Answer» -step explanation:Given : AB || CD PQ || RS Find : < X < Y < Z Solution : AB || CD ( Given ) Since < ABE = ECD ( Alternate Interior ANGEL ) X = 40° Similarly < BAE = < EDC 65° = Z In ∆ BEA < ABE + < BEA + < BAE = 180° ( Angle Sum Of Propert ) < X + < Y + 65° = 180° 40° + < Y + 65° = 180° < Y + 105° = 180° < Y = 180° - 105° < Y = 75° The Value < X = 40° < Y = 75° < Z = 65° Here Are Some Important Properties Alternate Interior Angle = 180° Co - interior Angle = 180° Vertically opposite Angle = 180° |
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