Question

explain HOW you'd find the missing angle in the diagram. FIND the missing angle, showing all your work. Be sure to give your final answer in a complete sentence

Answer 1

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,

`\angle1+\angle2+\angle3=180^(\circ)`

Substitute the given values in the above expression.

`\begin{gathered} 90^(\circ)+45^(\circ)+\angle3=180^(\circ) \\ \angle3=180^(\circ)-135^(\circ) \\ =45^(\circ) \end{gathered}`

Thus, the unknown angle is 45 degrees.