Download - Warmup
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Draw the following:
Line AB
Line segment BC
Ray FG
Warmup
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Section 1.6: Measuring angles
LEQ: How do we classify angles?
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An angle is the union of two rays that share a common endpoint.
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There are 4 ways to name an angle:
CED DEC E 3
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Acute angles have measuresbetween 0 and 90 degrees
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Right angleshave measuresof exactly 90degrees
(indicated by a small square)
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Obtuse angleshave measuresbetween 90and 180 degrees
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Straight Angle – an angle measuring 180 degrees
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Right angle
Straight angle
Acute angle
Obtuse angle
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Congruent angles are angles of the same measure(indicated by identical markings)
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Similar to the ruler postulate, if point B is in the interior of AOC, then mCOB+mBOA=mCOA
(<AOC)
Postulate 1-8: Angle Addition Postulate
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Vertical angles are opposite congruent angles created by the intersection of two lines
<1 and <3 are vertical angles <2 and <4 are
vertical angles
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Why should m<1=m<3
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Adjacent angles are angles that share a common side, common vertex, and no common interior points.
<KIH and <KIJ are adjacent angles
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Complementary angles are two angles who’s measures sum to 90.
<TSU and <USV are complementary angles.
If m<TSU=42, what is m<USV?
<TSU is the complement of <USV
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Supplementary angles are two angles who’s measures sum to 180.
<TSU and <USV are supplementary angles. <TSU is the supplement of<USV. If m<TSU=120, what is m<USV?
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Use the adjacent angles below to solve the following:
m<HOK = 4x-6, m <KOB=6x+2, find x andm<HOK.
Ex. 1
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Line up the bottom of the protractor with a side of the angle and center of angle with center of protractor. Extend the line of the other side and read the degree.
How do we measure angles?
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p.40-41, 1-8,15,17,19,24-32 odds,43,45
Hwk: