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:

$74^{\circ}.$