Find the measure of the angle $ \alpha $505050AAABBBCCC50

Name: Video Solution: Find Angle α in a Triangle with Given 50° Angle
Description: Step-by-step video solution

Find Angle α in a Triangle with Given 50° Angle

Find the measure of the angle $\alpha$

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Step-by-step video solution

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00:00 Determine the value of A

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

00:07 Substitute in the relevant values according to the given data and proceed to solve for A

00:10 Group terms

00:15 Isolate A

00:18 This is the solution

Step-by-step written solution

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Understand the problem

Find the measure of the angle $\alpha$

Step-by-step solution

Recall that the sum of angles in a triangle equals 180 degrees.

Therefore, we will use the following formula:

$A+B+C=180$

Now let's insert the known data:

$\alpha+50+50=180$

$\alpha+100=180$

We will simplify the expression and keep the appropriate sign:

$\alpha=180-100$

$\alpha=80$

Final Answer

Practice Quiz

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

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Find Angle α in a Triangle with Given 50° Angle

❤️ 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

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