Question

I have problems with this question. Can someone walk me through?

Answer 1

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. :)