Respuesta :

Given data:

The first angle given is ∠1 =90°.

The second angle given is ∠2 =45°.

The expression for the angle sum property of the triangle is,

[tex]\angle1+\angle2+\angle3=180^{\circ}[/tex]

Substitute the given values in the above expression.

[tex]\begin{gathered} 90^{\circ}+45^{\circ}+\angle3=180^{\circ} \\ \angle3=180^{\circ}-135^{\circ} \\ =45^{\circ} \end{gathered}[/tex]

Thus, the unknown angle is 45 degrees.