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 =
°
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