92. Find the measures of the numbered angles in the kite shown to the right. m∠1 = m∠6 =
m∠2 = m∠7 =
m∠3 = m∠8 =
m∠4 = m∠9 =

See below

Step-by-step explanation:

Kites have perpendicular diagonals, two pairs of congruent angles and sides.

Angles 1, 2, 3, 4 are all right angles∠6 and 37 are congruent, ∠5 and 43 are congruent, ∠7 and ∠9 congruent, ∠8 and ∠10 are congruent

Required measures:

m∠1 = 90 °                    m∠6 = 37°m∠2 = 90 °                   m∠7 =  90° - 37° = 53° m∠3 = 90 °                   m∠8 =  90° - 43° = 47 ° m∠4 = 90 °                   m∠9 = 53°m∠5 = 43 °                    m∠10 = 47 °