Question

In the adjoining figure angle Y=70, angle Z = 40 in Angle XYZ and PQ parellel YZ . If angle PXY =a and angle QXZ =b, find the values of a and b

Answer 1

Answer:

Step-by-step explanation:

In △ABC

∠BAC+∠ABC+∠ACB=180  

o

 (Angle sum property)

∠BAC+69  

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+31  

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=180  

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∠BAC=180  

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−100  

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=80  

o

 

For segment BADCB,

VBDC and ∠BAC are angles in the same segment. So, they must be equal

∴ ∠BDC=∠BAC (Angles in the same segment are equal)

∠BDC=80  

o