Question

to construct a triangle given its base angle and the sum of other two sides​

Answer 1

Steps of construction:

Obtain the base, base angle and the sum of the other two sides. ...

Draw the base BC.

Draw ∠XBC of measure equal to that of ∠ABC.

From ray BX, cut-off line segment BD equal to the sum AB + AC of the other two sides.

Join CD.

Draw the perpendicular bisector of CD meeting BD at A.

Join AC to obtain to obtain required triangle ABC