Quadrilateral ghjk is a rectangle. find measure <2 and <7 if m<3 = 37. image attached

Step-by-step explanation:

It is given that quadrilateral GHJK is a rectangle and .

All interior angles of a rectangle are right angles. Diagonals are equal and bisect each other.

Now,

   (Interior angles of a rectangle are right angles)

In an isosceles triangle, angle with equal sides are equal.

Therefore, measure of angle 2 is 53 degrees.

Let the diagonals intersect each other at point O.

In triangle OGK,

   (Angle su property)

Vertical opposite angles are equal. So,

Therefore, measure of angle 7 is 74 degrees.