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Question

If X is a point on the line AB and Y,Z are points outside such that AXY=45o and YXZ=60o, then AXZ is equal to

A
120o
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B
135o
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C
150o
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D
105o
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Solution

The correct option is D 105o
Given:X is a point on line AB;Y&Z are outside points;
AXY=45&YXZ=60
To Find:AXZ
Solution:
Case1:Y&Z are on same side of AB.
AXZ=AXY+YXZ
AXZ=45+60=105
Case2:Y&Z are on the opposite side of AB.
AXZ=AXY+YXZ=45+60=105
AXZ=105

1012506_923547_ans_0e502d0d319a4a259b2a4f54f3901216.png

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