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Bell Work:. Find the missing angle measures given that m<u = 20°. <u and <v are complementary angles, so v + 20 = 90 -20 -20 v = 70°. <w and <z are vertical angles so z = 90°. E. F. 20°. u. Box in the corner indicates a right angle. v. = 70°. 90°=. z. D. C. G. 70°=.
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Bell Work: Find the missing angle measures given that m<u = 20°. <u and <v are complementary angles, so v + 20 = 90 -20 -20 v = 70° <w and <z are vertical angles so z = 90° E F 20° u Box in the corner indicates a right angle. v = 70° 90°= z D C G 70°= y <v and <y are vertical angles so y = 70° w = 90° x <w and <ECG are supplementary angles, so w + 90 = 180 -90 -90 w = 90° J = 20° H <u and <x are vertical angles so x = 20°
Angles • An angle consists of two different rays (sides) that share a common endpoint (vertex). Vertex Sides
S vertex R SRT TRS 1 T Naming Angles There are several ways to name an angle. 1) Use the vertex and a point from each side. or side The vertex letter is always in the middle. 2) Use the vertex only. 1 R side This only works if there is only one angle at a vertex. 3) Use a number.
C A 1 B B 1 CBA ABC BAand BC Naming Angles 1) Name the angle in four ways. 2) Identify the vertex and sides of this angle. vertex: Point B sides:
2) What are other names for 3) Is there an angle that can be named XWY or 1 1 YWX XWY YWX 2 ZWX ZWY YWZ XWZ W You Try 1) Name all angles having W as their vertex. X W 1 2 Y Z No!
125° x° A D z 15° B C Find the missing angle measures. You try: <PQR and <RQS are supplementary angles, so mPQR+ mRQS= 180° 125 + y = 180 -125 -125 y = 55° P R Q y° T S <PQR and <TQS are vertical angles. So, the value of x is 125°. <ABD and <DBC are complementary angles, so mABD+ mDBC= 90° z + 15 = 90 -15 -15 z = 75°
You Try: Find the value of x in the figure: The angles are vertical angles. (x – 10) = 125 (x – 10)° x – 10 = 125 125° + 10 +10 x = 135°
You Try: Find the value of x in the figure: The angles are supplementary angles. 120º x + 20 + 120= 180 (x + 20)° x +140 = 180 - 140-140 x = 40°
M L 88° 2x J K N You Try: Find the value of x in the figure: The three angles make a straight angle. 2x + 88 + 46= 180 46° 2x +134 = 180 - 134-134 2x = 46° x = 23°