Find the measure of the angle $ \alpha $100100100AAABBBCCC90

Name: Video Solution: Find the Alpha Angle in a Triangle with 90° and 100° Angles
Description: Step-by-step video solution

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

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

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

00:12 Isolate A

00:17 A cannot be negative given that it is an angle measure

00:20 Therefore the triangle is invalid and cannot be solved

00:23 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

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

Therefore, we will use the formula:

$A+B+C=180$

Let's input the known data:

$100+\alpha+90=180$

$190+\alpha=180$

$\alpha=180-190$

We should note that it's not possible to get a negative result, and therefore there is no solution.

Final Answer

There is no possibility of resolving

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Can a triangle have a right angle?

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

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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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