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Question

Construct an isosceles XYZ, where YZ=5 units and XYZ=35o. Also, find the measure of YXZ.

A
35o
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B
70o
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C
110o
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D
140o
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Solution

The correct option is D 110o
YZ=5 CM ,XYZ=35
As the triangle is isosceles therefore XZY=50
Steps of construction:
1. Draw a line segment XY=5 cm.
2. At Y draw an angle of 35 and extend the arm.
3. At Z draw an angle of 35 and extend the ray such that it intersect the previous ray at X
4. Join Y to X and Z to X
Now measure YXZ
YXZ=110


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