Find the measure of the indicated angle
(geometry)

The little lines through the two sides of the triangle mean the sides are equal length.
Because the sides are equal, the two bottom angles are also the same.
Since angle B is given as 46 degrees, angle C is also 46 degrees.
The three inside angles of a triangle need to equal 180 degrees.
Angle A = 180 - 46 - 46 = 88 degrees.