Geometry Notes 1-3

GEOMETRY FIND ANGLES ALG

Angles are supplementary please find the angles for ABC(5x-5) XYZ(4x-3)

5x-3+4x-15=180 Combine Like Terms

9x-18=180 Add to both sides or make x single

9x=198 Divide

x=22

Plug-In

5(22)-5 Multiply

110-5 Combine like terms

105 Angle ABC

Do the same for the other angle

4(22)-3 Multiply

88-3 Combine like terms

85 Angle for XYZ

Check = 85+105 (add both angles, in this case, the problem does not have an answer soo use it for demonstration only)

Specific Equation won’t work but the steps are correct

Write Expression for the Following angles

Get the provided numbers well use (3x-5)

Then depending on what’s asked to find, plugin in the value

Remember Supplementary = 180

Complementary = 90

Let’s do complementary

Plugin the 90 with the given numbers

90-(3x-5) Make sure a negative is placed before

Distribute: 90-3x+5

Combine like terms 95-3x

Answer 95-3x

Do the same for supplementary angles

Find the Value for X

Two angles next to each other make a supplementary set

here are the numbers for both: 4x^2+120 and -2x^2=19x

Combine 2x^2+19x+120=180

subtract and add back. 2x^2+19x+120-120=180-120 is 2x^2+19x=60 then add back is 2x^2+19x-60

Then find factors using the x method or your personal method

You should get 24 and -5 Because 24*-5 = -120 and 24-5 = 19

Put 2 (the number before x or coefficient) below your factors

24/2 and -5/2

Simplify if possible soo x = 12 or -5/2

Then do the Pupster Maneuver 123 soo x = -12 or 5/2 (do this instead of spending even more lead on paper)

The answer is x=-12 or 5/2

Find the following values when not near angles

Coming soon

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