Geometry
# Properties of Triangles

In \(ABC \), sides \(AB\) and \(AC\) are equal in length and \(\angle A\) measures \(80^\circ\).

If the points **D**, **E**, and **F** are on sides **BC, CA,** and **AB** respectively, such that \( CE= CD,BF=BD\), then what is \( \angle EDF \)?

The sides of a right triangle are \(a\), \(a+d\) and \(a+2d\) with \(a\) and \(d\) both positive. What is the value of \(a:d\)?

**Note**: Image drawn not up to scale.

Arjit drew an isosceles right angled triangle on the board. What is the measure of the base angle?

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