Question

you realize theres room in your design for another shape, so you choose the triangle. you want the first interior angle to measure 32°. if you want a second interior angle to be double the measurement of the first interior angle, what will be the measure of the third interior angle? 66° 64° 24° 84°

Explanation:

Step1: Find the second - angle measure

The first angle is $32^{\circ}$. The second angle is double the first, so the second - angle measure is $2\times32^{\circ}=64^{\circ}$.

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. Let the third angle be $x$. Then $32^{\circ}+64^{\circ}+x = 180^{\circ}$.
We can simplify the left - hand side: $96^{\circ}+x = 180^{\circ}$.
Subtract $96^{\circ}$ from both sides: $x=180^{\circ}-96^{\circ}=84^{\circ}$.

Answer:

$84^{\circ}$