Angles 1 and 3 are supplementary. Therefore, 3x + y = 180

Because the angles are made of two lines that intersect, then angles 2 and 3 are also supplementary. Therefore, y + 75 = 180

so we have two equations:

3x + y = 180

y + 75 = 180

from the second equation: y = 180 – 75 = 105

if you want to find x:

substitute into the first equation: 3x + 105 = 180

3x = 180 – 105

3x = 75

x = 25

Since angle 1 and 3 are vertical angles, they have equal measure. So 3x = 75 and x=25.

To find y, angle 1 + angle 2 =180 (supplementary)

75 + y= 180

y=105

If angles 3 and 1 are vertical angles, then angle 3 = angle 1.

Ang.3 = Ang.1

Ang.3 = 75

75 = Ang.1

If angles 1 and 2 are supplementary, then they must add up to 180 degrees.

Ang.1 + Ang.2 = 180

75 + Ang.2 = 180

Ang.2 = 105 degrees

ANSWER:

y = 105

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Knowing this, it’s also easy to find the x value you have up there. Since you know that Ang.1 = 3x and that Ang.1 = 75 degrees, you know that 3x = 75.

3x = 75

x = 25

ANSWER:

x = 25

Draw a line and label the standards. A, B and C because of the fact the entire line = 24, you are able to set up an equation. 2x – a million +3x + 5 = 24. 5x = 20 x = 4 So BC = three times 4 + 5 =17 2 ) The mid factor formulation is the 1st x + the 2d x divided by utilising 2 and then the 1st y + the 2d y divided by utilising 2. So the midpoint is (a million,2) 3) First locate the area from A to M, then enlarge the line a similar volume . in case you draw a image of those factors on graph paper, you are able to locate that From A to M you will be able to desire to pass down 6 and over 3. in case you do this from M you finally end up at (7,8)

y = 105