Respuesta :

k = 73

The sum of the angles in a triangle is 180°

sum the 2 given angles and subtract from 180 for k

k = 180 - (62 + 45 ) = 180 - 107 = 73



a polygon with three side is called triangle.

we know sum of all angle of triangle is [tex]180^{\circ}[/tex]

here we are given three angles are

[tex]45^{\circ}62^{\circ}k^{\circ}[/tex]

this implis

[tex]45^{\circ}\dotplus 62^{\circ}\dotplus k^{\circ}=180^{\circ} now107^{\circ}+k^{\circ}=180^{\circ}this impliesk^{\circ}=180^{\circ}-107^{\circ}=73^{\circ}[/tex]

hence the required angle [tex]k^{\circ}=73^{\circ}[/tex]