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1.6 Angles and Their Measures

1.6 Angles and Their Measures. An angle consists of two different rays that have the same endpoint. The rays are the sides of the angle. The initial point is the vertex of the angle.

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1.6 Angles and Their Measures

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  1. 1.6 Angles and Their Measures

  2. An angle consists of two different rays that have the same endpoint. The rays are the sidesof the angle. The initial point is the vertex of the angle. The angle that has sides AB and AC is denoted by BAC, CAB, A. The point A is the vertex of the angle. C Sides A B Vertex Angle

  3. Name the angles in the figure: SOLUTION: There are three different angles. PQS or SQP SQR or RQS PQR or RQP P S Q Ex.1: Naming Angles R You should not name any of these angles as Q because all three angles have Q as their vertex. The name Q would not distinguish one angle from the others.

  4. B A C Note: • The measure of A is denoted by mA. The measure of an angle can be approximated using a protractor, using units called degrees(°). • For instance, BAC has a measure of 50°, which can be written as mBAC = 50°.

  5. Angles that have the same measure are called congruent angles. more . . .

  6. MEASURES ARE EQUAL mBAC = mDEF ANGLES ARE CONGRUENT BAC  DEF Note – Equal & Congruent are not exactly the same!!! “is congruent to” “is equal to”

  7. Classifying Angles • Angles are classified as acute, right, obtuse, and straight, according to their measures. Angles have measures greater than 0° and less than or equal to 180°.

  8. A point is in the interior of an angle if it is between points that lie on each side of the angle. A point is in the exterior of an angle if it is not on the angle or in its interior. Interior/Exterior

  9. If P is in the interior of RST, then mRSP + mPST = mRST R P S T Postulate 6: Angle Addition Postulate

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