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Question

If the given figure ,if XY=YZ then XYT=?
1122819_f64ba3591b784396a2d050dec81bd259.png
  1. 35o
  2. 100o
  3. 110o
  4. 70o

A
70o
B
35o
C
100o
D
110o
Solution
Verified by Toppr

Given, the XYZ where YXZ=35o
and XY=YZ. Therefore, XYZ is an isosceles triangle.
So, YXZ=YZX=35o ( since, angles made by the equal sides with the other side of the triangle respectively.)
XYZ=180oYXZYZX
=180o35o35o=180o70o=110o
Now, XYZ+XYT=180o ( since, they are supplementary angles) XYZ+XYT=180oXYT=180oXYZ=180o110o=70o
XYT=70o.

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