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you realize theres room in your design for another shape, so you choose…

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?

Explanation:

Step1: Find the second angle

The second angle is double the first: $2 \times 32^\circ = 64^\circ$

Step2: Sum of triangle angles

The sum of interior angles of a triangle is $180^\circ$. Let the third angle be $x$.
$32^\circ + 64^\circ + x = 180^\circ$

Step3: Calculate the third angle

First sum the known angles: $32 + 64 = 96$
Then solve for $x$: $x = 180^\circ - 96^\circ = 84^\circ$

Answer:

$84^\circ$