Find the measure of the angle $ \alpha $808080AAABBBCCC55

Name: Video Solution: Find Alpha in an 80° Triangle: Geometric Angle Measurement
Description: Step-by-step video solution

There is no possibility of resolving

Find Alpha in an 80° Triangle: Geometric Angle Measurement

Find the measure of the angle $\alpha$

❤️ 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 value of A

00:03 The sum of angles in a triangle equals 180

00:06 Substitute in the relevant values according to the given data and proceed to solve for A

00:11 Group the terms

00:14 Isolate A

00:19 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Find the measure of the angle $\alpha$

Step-by-step solution

Remember that the sum of angles in a triangle is equal to 180 degrees.

Therefore, we will use the following formula:

$A+B+C=180$

Now let's input the known data:

$80+55+\alpha=180$

$135+\alpha=180$

We'll move the term to the other side and keep the appropriate sign:

$\alpha=180-135$

$\alpha=45$

Final Answer

Practice Quiz

Test your knowledge with interactive questions

Is the straight line in the figure the height of the triangle?

🌟 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

Find Alpha in an 80° Triangle: Geometric Angle Measurement

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Practice Quiz

🌟 Unlock Your Math Potential

More Questions

Sum and Difference of Angles

Find Alpha Angle: Triangle with 69° and 23° Angles

Find Angle α in Triangle ABC: Given Angles 27.7° and 41°

Triangle Angle Calculation: Finding α When Given 49.6° and 38°

Find Angle α in a Triangle with Given 50° Angle

Parts of a Triangle

Find the Alpha Angle in a Triangle with 90° and 100° Angles

Solve for X: Triangle with 115° Angle and Expressions 8X and 20+X

Find the Alpha Angle in Triangle ABC with 89° Interior Angle

Find Angle α in a Triangle with 120° and 27° Angles