Question

A triangle has three angles: A=2x, B=96, and C=x + 12
Find angles A and C

Answer 1

To find the values of angles A and C, we can use the fact that the sum of angles in a triangle is always 180 degrees.

So, we have:
A + B + C = 180

Plugging in the given values:
2x + 96 + x + 12 = 180

Combining like terms:
3x + 108 = 180

Subtracting 108 from both sides:
3x = 72

Dividing by 3:
x = 24

Now we can find the values of angles A and C:
A = 2x = 2(24) = 48
C = x + 12 = 24 + 12 = 36

Therefore, angle A is 48 degrees and angle C is 36 degrees.