m∠A = 2x
m∠C = x + 12
Since the sum of the angles in a triangle is 180 degrees,
(2x) + 96 + (x + 12) = 180
Combining like terms,
3x + 108 = 180
Subtracting 108 from both sides,
3x = 72
Dividing by 3,
x = 24
Therefore,
m∠A = 2(24) = 48°
m∠C = 24 + 12 = 36°
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