Respuesta :

Answer:

m<1 = 39°

m<3 = 180-90-39= 51°

Step-by-step explanation:

Lines AC and DB are diagonals and always meet at right angles.

Kites have two sets of equivalent adjacent sides and one set up of congruent opposite angles.

fichoh

Using angle theorems, the value of the angles m1 and m3 are 39° and 51° respectively.

Taking the midpoint of DB as O ;

Angle OAD and Angle OAB are equal

OAD = 39° ; OAB = 39°

A right angle is formed at O ;

Hence,

  • (O + D + A) = 180°

90° + D + 39° = 180° (Sum of interior angles of a triangle)

D = 180 - 129

D = 51°

Hence, m∠3 = 51°

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