Finding All Angles in an Isosceles Triangle with 62° Base Angle

Find all the angles of the isosceles triangle using the data in the figure.

626262AAABBBCCC

❤️ 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 Determine the angles of the triangle
00:03 In an isosceles triangle (given) the base angles are equal
00:07 Substitute in the angle value according to the given data
00:11 Determine the sum of the known angles
00:15 The sum of the angles in a triangle equals 180
00:18 Subtract the known angles from this sum in order to find the angle
00:26 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Find all the angles of the isosceles triangle using the data in the figure.

626262AAABBBCCC

2

Step-by-step solution

In an isosceles triangle, the base angles are equal to each other—that is, angles C and B are equal.

C=B=62 C=B=62

Now we can calculate the vertex angle.

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

A=1806262=56 A=180-62-62=56

The values of the angles in the triangle are 62, 62, and 56.

3

Final Answer

62, 62, 56

Practice Quiz

Test your knowledge with interactive questions

In a right triangle, the side opposite the right angle is called....?

🌟 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