Construction of a Triangle with Given Base, Base Angle and Sum of Two Sides

Q.

The steps to construct a triangle with given base angles $\angle$ B and $\angle$ C and BC + CA + AB, are:.
A. Draw a line segment, say XY equal to BC + CA + AB.
B. Make $\angle$ LXY equal to $\angle$ B and MYX equal to $\angle$ C.
C. Bisect $\angle$ LXY and $\angle$ MYX. Let these bisectors intersect at a point A.
D. Draw perpendicular bisectors PQ of AX and RS of AY.
E. Let PQ intersect XY at B and RS intersect XY at C. Join AB and AC.

1. True

2. False