Question

In Δ , if ∠ = 72° and ∠ = 34°. Find the ∠.a 34°b.74°c.106°d.180°

Answer 1

To determine the other interior angle of the triangle, we use the fact that the interior angles of a triangle add up to 180°, therefore, if x is the measure of the other angle we can set the following equation:

`72^(\circ)+34^(\circ)+x=180^(\circ).`

Solving the above equation for x, we get:

`x=180^(\circ)-72^(\circ)-34^(\circ).`

Simplifying we get:

`x=74^(\circ).`

Answer:

`74^(\circ).`