Find Angle BAD in Triangle: Given Angles 86°, 28°, and 122°

Question

ABC is a triangle. What is the size of the angle BAD ∢\text{BAD} ?

AAABBBCCCDDD86x28122

Video Solution

Step-by-Step Solution

First, let's find the value of angle B.

Since the sum of angles in a triangle is equal to 180, the formula is:

1808628=66 180-86-28=66

Now let's look at angle ADB, we can calculate its value since we are given angle ADC.

180122=58 180-122=58

Now we can calculate angle BAD:

1806658=56 180-66-58=56

Answer

56