Welcome to "Finding the Missing Angle of a Triangle: A Step-by-Step Guide" with Mr. J! Need help with finding the missing angle of a triangle? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with how to find the missing angle of a triangle. Mr. J will go through examples of triangles and explain how to calculate the missing angle of a triangle.
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Hopefully this video is what you're looking for when it comes to finding the missing angle in a triangle.
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In this video, I'm going to cover how to find the missing angle measure of a triangle.
Now remember, the sum of the angles for every triangle is 180 degrees.
That just means that when we add the three angles of any triangle, they will always equal 180 degrees.
We need to know this information in order to find a missing angle measure of a triangle.
Let's jump into our examples, starting with number 1, where we have a triangle with a 98 degree angle, a 31 degree angle, and then x represents the missing angle measure.
So how do we go about this?
Well, we know that these three angles need to add up to 180 degrees.
So let's set up an equation in order to solve for x.
So we have 98 degrees plus 31 degrees plus x equals 180 degrees.
Now let's figure out what x equals.
So we need to solve for x.
Let's start by adding the two angles that we are given.
So 98 degrees plus 31 degrees.
That gives us 129 degrees plus x equals 180 degrees.
Now we need to isolate x.
We need to figure out what x equals.
We do this by subtracting 129 from the left side of the equation.
Whatever we do to one side of the equation, we must do to the other in order to keep it balanced.
So let's subtract 129 from the right side as well.
The 129s on the left side of the equation cancel each other out.
So x is now isolated.
And then on the right side of the equation, 180 minus 129 gives us 51, and this is degrees.
So x equals 51 degrees.
So that means that this missing angle measure is 51 degrees.
Now we set everything up as an equation and worked through that equation in order to solve for x.
But essentially all we did was add the two angle measures that we were given,
and then we subtracted that from 180 degrees in order to find the missing angle measure.
Let's move on to number two where we have a triangle with a 90 degree angle, a 24 degree angle,
and then x represents the missing angle measure.
Let's set this up as an equation and work through it in order to figure out what x equals.
So we have 90 degrees plus 24 degrees plus x equals 180 degrees.
Let's start by adding the two angles that we were given.
So 90 degrees plus 24 degrees, that gives us 114 degrees plus x equals 180 degrees.
Now we need to isolate x. We need to figure out what x equals.
So let's subtract 114 from the left side of the equation.
Whatever we do to one side of the equation, we must do to the other.
So subtract 114 from the right side as well.
The 114s on the left side of the equation cancel each other out.
So x is now isolated, x equals, and then on the right side of the equation,
180 minus 114 gives us 66, and this is degrees.
So x equals 66 degrees.
66 degrees is our missing angle measure.
Now again, we set that up as an equation and solved for x.
So we worked through that equation in order to figure out what x equaled.
But basically, all we did was add the two angle measures that we were given,
and then we subtracted that from 180 degrees in order to figure out the missing angle measure.
So there you have it. There's how to find the missing or unknown angle of a triangle.
I hope that helped. Thanks so much for watching.
Until next time, peace.
