Step-by-step explanation: In this problem, notice that we're only given one pair of congruent angles, the 90 angles, but remember that the sum of the measures of the angles of a triangle is 180°.
So we can determine that the measure of the missing angle
of our first triangle is 40° because 90 + 50 + 40 = 180.
Now we have two pairs of congruent angles,
the 40° angles, and the 90° angles.
Therefore, since two of the angles of one triangle are congruent to
two of the angles of the other triangle, we can say that yes, the
triangles are similar by the Angle-Angle Similarity Postulate (AA~).
