Find the measure of the two missing angles using the picture below.

a is 2x b is 96 c is x +12

(2 points)
m∠A =

°
m∠C =
°

1 answer

Since angles A and C are vertical angles, they are congruent.

Given that angle B measures 96 degrees, we can set up the equation:

96 = x + 12

Subtracting 12 from both sides gives:

x = 84

Therefore, angle A measures:

m∠A = 2x = 2(84) = 168 degrees

And angle C measures:

m∠C = x + 12 = 84 + 12 = 96 degrees
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