BD Bisects ABC. Find the value of x in the image shown below
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1.) Set up an equation.
All of the angles in a triangle have a sum of 180°. This means that in order to solve this problem, you have to add up all of the angle measures. Since we already know they add up to 180°, then the algebraic equation will look like:
2.) Simplify.
We can see that there are two variables and two known numbers. To make the equation simpler, add up the numbers that are compatible with each other.
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3.) Isolate y.
If 180 is 44 more than 2y, then that means we can flip this and say that 2y is 44 less than 180. Numerically, this would be:
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Isolate y using the same concept.
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We are left with .
4.) Check your work.
Now that we know the value of y, all that's left to do is to plug in the value to see if your answer is true.
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So we know it is true that y = 68°. Hope this was helpful.
Equation for a circle with radius r and centre at (h,k) is given by -
Hope it helps you ! :)
Hope it helps you ! :)