Which dimensions can create more than one triangle?
1 answer:
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Answer:
x=70, y=55
Step-by-step explanation:
Since the angle "y" and 2x-15 form a straight line, that means the sum of the angles, must be 180 degrees.
So using this we can derive the equation:
The next thing you need to know is that the sum of interior angles of a triangle is 180 degrees, so if we add all the angles, we should get 180.
So using these we can derive the equation:
So, in this case we simply have a systems of equations. We can solve this by solving for x in the second equation (sum of interior angles), and plug that into the first equation.
Original Equation:
Subtract 2y from both sides
Now let's plug this into the first equation
Plug in 180-2y as x
Distribute the 2
Combine like terms
Subtract 345 from both sides
Divide both sides by -3
So we can plug this into either equation to solve for x
Substitute in 55 as y
Subtract 110 from both sides