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

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

AAABBBCCCDDD86x28122

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:05 The sum of angles in a triangle equals 180
00:10 Therefore angle DAC equals 180 minus the known angles
00:21 This is angle DAC
00:31 The total angle equals the sum of its parts
00:37 Let's isolate X
00:51 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

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

AAABBBCCCDDD86x28122

2

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:

180−86−28=66 180-86-28=66

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

180−122=58 180-122=58

Now we can calculate angle BAD:

180−66−58=56 180-66-58=56

3

Final Answer

56

Practice Quiz

Test your knowledge with interactive questions

Indicates which angle is greater

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Angles questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Angles

Solve for X: Finding Angles 4x and 2x in an Isosceles Triangle
Click to solve
Triangle Angle Calculation: Find X and Y Given 43° and 47° Angles
Click to solve

Sum and Difference of Angles

Find x in Triangle ABC: Given Angles 111° and 60°
Click to solve
Find ∠CAD in a Right Triangle with 61° and 17° Angles
Click to solve