Find the measure of the angle $ \alpha $49.649.649.6AAABBBCCC38

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

Find the measure of the angle $\alpha$

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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

00:10 Collect terms

00:18 Isolate A

00:24 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

Let's 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:

$\alpha+49.6+38=180$

$\alpha+87.6=180$

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

$\alpha=180-87.6$

$\alpha=92.4$

Final Answer

92.4

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

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

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Step-by-step video solution

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Understand the problem

Step-by-step solution

Final Answer

Practice Quiz

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