Find x in Triangle ABC: Given Angles 111° and 60°

Calculate the value of x x .

111°111°111°AAABBBCCC60°x

❤️ 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
00:06 Supplementary angle to 180
00:16 Sum of angles in a triangle equals 180
00:25 Collect terms and isolate X
00:42 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

Calculate the value of x x .

111°111°111°AAABBBCCC60°x

2

Step-by-step solution

Remember that a straight angle is equal to 180 degrees.

Therefore, we can work out that the angle measuring 111° and angle ACB form a straight angle.

Now let's calculate angle ACB as follows:

ACB=180−111 ACB=180-111

ACB=69 ACB=69

Then we can calculate x x .

Remember that the sum of angles in a triangle is equal to 180 degrees, therefore:

X=180−69−60 X=180-69-60

X=51 X=51

3

Final Answer

51

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

Triangle Angle Calculation: Find X and Y Given 43° and 47° Angles
Click to solve
Solve for X, Y, and Z: Triangle Geometry with Given Angles 25°, 72°, and 105°
Click to solve

Sum and Difference of Angles

Find ∠CAD in a Right Triangle with 61° and 17° Angles
Click to solve
Calculate the Missing Angle B in Triangle ABC: Given 105° and 45°
Click to solve