Question

Find m1 and m3 in the kite.


https://www.connexus.com/content/media/456845-1312011-23043-PM-838557122.png

Answer 1

angle 2 = 90... so in the left triangle 180 - 90 - 39 = 3

the upper right triangle is congruent to the upper left triangle therefore angle 1 = 39

Answer 2

Let the intersection of diagonals be 'O'.
Since it's a kite, the diagonals intersect at right angles, and DO=OB.


so <DAO=<BAO
find '1' from this.

now use the angle sum property of a triangle to find out the '3'. and '2' ofcourse is a right angle.