Answer:
1) x= 111
2) x= 62
3) x= 55
4) Q= 93 degrees.
Step-by-step explanation:
First, let's focus on the first triangle image. The first thing to do here is to find the missing degree of the triangle, this will help us find out what x is.
Step 1- Make an equation.
A triangle equals a total of 180 degrees, and we already have 2 given.
So, the equation would be: 75+36+y= 180 (y represents the missing angle).
Step 2- Simplify the equation(Add).
(75+36)+y= 180
111+y= 180
Step 3- Subtract 111 to both sides.
111+y= 180
-111 -111
y= 69
So, here we now know the missing degree of the triangle. Now to find the angle measure of the additional line to the triangle.
Step 1- Make an equation.
A straight line equals 180 degrees. So, we know one of the degrees, now we need x. This gives us the equation of: 69+x= 180
Step 2- Subtract 69 to both sides.
69+x= 180
-69 -69
x= 111
For the second image, this is a parallel line with an intersecting line. The angles here are supplementary angles. They sum up to 180 degrees.
Step 1- Make an equation.
The equation here would be: 118+x= 180
Step 2- Subtract 118 to both sides.
118+x= 180
-118 -118
x= 62
For the third image, we also have parallel lines with an intersecting line. The angles here also sum up to 180 degrees. Since the vertical line is a straight line, a straight line sums up to 180 degrees.
Step 1- Make an equation.
The equation here would be: 125+x= 180.
Step 2- Subtract 125 to both sides.
125+x= 180
-125 -125
x= 55
For the final image we have a triangle. Now remember that a triangle sums up to 180 degrees.
Step 1- Make an equation.
The equation here would be: 36+51+x= 180
(x represents the missing degree)
Step 2- Simplify the equation(Add).
(36+51)+x= 180
87+x= 180
Step 3- Subtract 87 to both sides.
87+x= 180
-87 -87
x= 93
Hope this helps!! The rest of the choices are false btw. :)
