Correct Answer - Option 2 : 58°
Given:
XYZ is a triangle, in which T and R are the points of side XY and XZ and 2TR = YZ where ∠XTR = 58°
Concept Used:
According to the converse of the midpoint theorem in a triangle line drawn from the mid-point of the one side of the triangle, parallel to the other side intersects the third side at its mid-point.
Calculation:
In triangle XYZ, T and R are the points of side XY and XZ and 2TR = YZ
∴ According to converse of midpoint theorem TR ∥ YZ
If XY is transversal and TR ∥ YZ
∴ ∠XYZ = ∠XTR
∵ They are corresponding angles and we know that corresponding angles are equal to each other
∴ ∠XYZ = ∠XTR = 58°
