Question

In the diagram of triangle ABD shown, point C is located on BD such that AB congruent to AC and AC congruent to CD. If m ADC is equal to 34 degrees then which of the following is the measure of ABC?
1. 48 degrees
2. 68 degrees
3. 76 degrees
4. 84 degrees

Answer 1

Answer:

2. 68 degrees

Step-by-step explanation:

Since ADC equals 34⁰, DAC must equal 34⁰ because it is an isoceles triangle.

The add 34+34=68

180- 68 equals 112,

Therefore ACD = 112⁰ and ACD equals 68⁰.

If ACD equals 68⁰, then ABC equals 68⁰.