In a kite, opposite angles are congruent. Therefore, m<1 = m<2 = 39 degrees.
Since the diagram is not to scale, we cannot determine the measure of <1 and <2 exactly. However, we can use the properties of kites to determine the relationship between the two measures.
In a kite, the diagonals intersect at a right angle. This means that <AOB and <BOD are complementary angles. Therefore, m<AOB + m<BOD = 90 degrees.
We are given that m<2 = 39 degrees. This means that m<AOB = 90 - 39 = 51 degrees.
Since <1 and <2 are opposite angles in the kite, they are congruent. Therefore, m<1 = m<2 = 39 degrees.
A kite is a quadrilateral with two pairs of adjacent sides that are congruent. The diagonals of a kite intersect at a right angle. This means that opposite angles in a kite are congruent.
In the kite diagram provided, we are given that m<2 = 39 degrees. We want to find m<1.
Since <1 and <2 are opposite angles in the kite, they are congruent. This means that m<1 = m<2 = 39 degrees.
Therefore, the answer is: m<1 = m<2 = 39 degrees.