splash screen. concept angle 3 and angle abc have a common interior space a common vertex and no...
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Angle 3 and angle ABChave a common interior space
a common vertex andNo common interior
Angle 3 and angle ABC do nothave a common vertex.
Non common sides form a straight line
Non common sides do not form a straight line
Think “2 sides that form a
straight line”
Think “2 angles that are next to
eachother with a common side”
If they can’t be adjacent, think
“across from each other”. Diagram will
always form a perfect X shape.
Angle 1 and angle 2are across from eachother.
Angle 3 and angle 4are also across from eachother.
Although angles AEB and DEC are across from each other, they do not create a perfectly straight X.
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a) ROADWAYS Name an angle pair that satisfies the condition two angles that form a linear pair.
SAMPLE ANSWER:
PIQ and QIS
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b) ROADWAYS Name an angle pair that satisfies the condition two acute vertical angles.
SAMPLE ANSWER:
PIQ and TIS
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(always the same measure)
(they can be adjacent angles or non adjacent angles)
(they can be adjacent angles or non adjacent angles. If they are adjacent, then they are also a linear pair.)
(like angle addition!)
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ALGEBRA Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle.
Watch and COPY:Supplementary means the measure of two angles will add up to 180.Since we don’t know what “the other angle” is, let’s call it x.
Then the first angle is 5x – 6 (six less (subtract) than 5 times (multiply) the other (x))
Use angle addition: 1 + 2 = 1805x - 6 + x = 180
6x - 6 = 1806x = 186x = 31x represents “the other angle”, so 2 = 31 1 = 5x-6 = 5(31) – 6 = 149 so 1 = 149
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Even though only one symbol is drawn,There are 4 right angles.
(four 90 angles)
“Line AD is perpendicular to line CB.”
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Find x and y so that KO and HM are perpendicular.
If the lines are , a right is formed.MJO is a right angle. Right angles equal 90.Since mMJO = 3y + 6,set up the following equation:3y + 6 = 90. Solve for y.3y = 84y = 28.
To solve for x:Another right is formed. Look at the angles that involve an x.KJH is a right angle, but is created by adding 2 angles together.KJI + IJH = KJH Substitute in to set up the following equation:3x + 6+ 9x = 90. Solve for x.12x + 6 = 9012x = 84x = 7
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Important to READ through.
NEVER assume anything in apicture is congruent or perpendicular. It must be told to you in directions,or already marked in the picture.
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Determine whether the following statement can be justified from the figure below. Explain.
a) mVYT = 90°
Yes. This is true because XYVis marked as a right angle and createsa linear pair with TYV.Linear pairs add to 180. If one angle is 90then the other angle must also be 90.
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Determine whether the following statement can be justified from the figure below. Explain.
b) TYW and TYU are supplementary.
Yes. This is true because the two given anglesform a linear pair. Linear pairs add to 180.Supplementary angles also add to 180.
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Determine whether the following statement can be justified from the figure below. Explain.
c) VYW and TYS are adjacent angles.
No. Although they share a common vertex,these angles do not share a common side.