Find the measures of the numbered angles in the kite.

m1=m2 = 111 degrees

Step-by-step explanation:

1. construct a line between angles 1 and 2

//now we have 2 triangles. They are both isoscles triangles.

3. m(base angles in 90 triangle) = (180-90)/2 = 45 degrees. (base angle th.)

4. m(base angles in 48 triangle) = (180-48)/2 = 66degrees. (base angle th.)

5. m1 = 66+ 45 = 111 degrees. (algebra)

6. m2=m1 = 66+45 =111 degrees  (algebra)

check:

sum of all angles has to add up to 360 degrees.

48 + 90+ 111+111=360

360=360

-14 is the answer

hope this : ))

just sum

10 + 10 = 20