Question

In the accompanying diagram, overline CD is the bisector of m angle ACB m angle A = 58 and m angle B = 72 Find m angle ACD

Answer 1

Answer: ACD measures 50 degrees

Step-by-step explanation:

Since overline CD is the bisector of m angle ACB, it divides the angle into two equal angles: m angle ACD and m angle BCD.

Let's represent the measure of m angle ACD as x.

We know that m angle A = 58 and m angle B = 72. Since overline CD is the bisector, it divides angle ACB into two equal angles: m angle ACD and m angle BCD.

So, m angle ACD = m angle BCD = x.

Since the sum of the angles in a triangle is 180 degrees, we can set up an equation:

m angle A + m angle C + m angle B = 180

58 + x + 72 = 180

Now, solve for x:

x = 180 - 58 - 72

x = 50 degrees

So, m angle ACD measures 50 degrees.