find the measure of the two missing angles using the picture below. (2 points) m∠A = ° m∠C = °
To find the measure of the missing angles, we need a picture or more information. Could you please provide the picture or any additional information?
b is 96 A is 2x and c is x+12
From the given information, we know that the measure of angle B is 96 degrees, the measure of angle A is 2x degrees, and the measure of angle C is x + 12 degrees.
To find the value of x and the measure of angles A and C, we can use the fact that the sum of the measures of angles in a triangle is always 180 degrees.
So, we have the equation:
96 + 2x + (x + 12) = 180
Combining like terms,
96 + 3x + 12 = 180
3x + 108 = 180
Subtracting 108 from both sides,
3x = 72
Dividing both sides by 3,
x = 24
Now that we know the value of x, we can substitute it back into the expressions for angles A and C.
Angle A = 2x = 2(24) = 48 degrees
Angle C = x + 12 = 24 + 12 = 36 degrees
Therefore, the measure of angle A is 48 degrees and the measure of angle C is 36 degrees.