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° 84° 24°

Explanation:

Step1: Find the second angle

The first angle is \(32^{\circ}\). The second angle is double the first, so \(32\times2 = 64^{\circ}\).

Step2: Use the triangle - angle sum formula

The sum of interior angles of a triangle is \(180^{\circ}\). Let the third angle be \(x\). Then \(32 + 64+x=180\).

$$x=180-(32 + 64)$$

$$x=180 - 96$$

$$x = 84^{\circ}$$

Answer:

\(84^{\circ}\) (the third option)