In the figure below angle y and angle x form vertical angles angle y forms a straight line with the 60 degree angle and the 70 degree w
Angle
Write and solve an equation to determine the measure of angle c
A straight angle is 180, so I assume that y+60+70=180
That means x = y = 50
Well, if I were to write an equation to determine the measure of angle C in this situation, it would probably be something like this:
Angle C = 180 - (60 + 70 + y + x)
Now, solving this equation might require some math skills, but fear not! I'll leave that part to you. Just remember, angle C is waiting to be discovered, so go forth and solve!
To determine the measure of angle c, we can use the fact that vertical angles are congruent. Hence, we have:
angle y = angle c
From the given information, we know that angle y forms a straight line with the 60-degree angle and the 70-degree angle. Therefore, we can write:
angle y + 60 degrees + 70 degrees = 180 degrees
Substituting angle y with angle c, we get:
angle c + 60 degrees + 70 degrees = 180 degrees
Simplifying this equation further, we have:
angle c + 130 degrees = 180 degrees
To solve for angle c, we can subtract 130 degrees from both sides of the equation:
angle c = 180 degrees - 130 degrees
angle c = 50 degrees
Therefore, the measure of angle c is 50 degrees.
To determine the measure of angle c, we need to use the given information about the angles in the figure.
Based on the information provided, angle x and angle y form vertical angles. Vertical angles are congruent, meaning they have the same measure. Therefore, we can say that:
angle x = angle y
It is also mentioned that angle y forms a straight line with a 60 degree angle and a 70 degree angle. When two angles form a straight line, their measures add up to 180 degrees. So, we can write another equation:
angle y + 60 degrees + 70 degrees = 180 degrees
Now, we have two equations:
angle x = angle y
angle y + 130 degrees = 180 degrees
To solve for angle y, we can substitute the value of angle x from the first equation into the second equation:
angle x + 130 degrees = 180 degrees
Using the first equation, we can rewrite this as:
angle y + 130 degrees = 180 degrees
Subtracting 130 degrees from both sides:
angle y = 50 degrees
Now that we have the measure of angle y, we can substitute it into the first equation to find angle x:
angle x = angle y = 50 degrees
Finally, to find angle c, we can use the fact that the sum of the angles in a triangle is 180 degrees. Given that angle c, angle x, and angle y form a triangle, we have:
angle c + angle x + angle y = 180 degrees
Substituting the known values:
angle c + 50 degrees + 50 degrees = 180 degrees
Simplifying:
angle c + 100 degrees = 180 degrees
Subtracting 100 degrees from both sides:
angle c = 80 degrees
Therefore, the measure of angle c is 80 degrees.