Respuesta :

DeanR

Angle 2 is 90 degrees; the diagonals of a kite are perpendicular.

The upper half is isosceles so the angle MEK is also 75 degrees.

MEK is a right triangle, right angle M, so the angle at K is complementary to 75 degrees, so angle MKE = 15 degrees.  That's angle 1.

MTI and MTE are congruent (by theorem HL) so MTE=66 degrees

Answer: ∠1 =15°    ∠2=90°     ∠3=66°

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