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By: Jennifer R. Tabaniag. Many objects around us illustrate angles. A geometric figure formed by the union of two different rays that are not on the same line but have a common endpoint. The union of two noncollinear ray which intersect at their endpoints. Angle measurement.
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By: Jennifer R. Tabaniag
A geometric figure formed by the union of two different rays that are not on the same line but have a common endpoint. The union of two noncollinear ray which intersect at their endpoints.
Angle measurement • The amount of “opening” between two rays representing its sides. • Measure of the geometric figure formed by the union of two different rays that are not on the same line. Degrees • Common units of angle measure.
An angle divides the plane into three subsets of points: • Points on the interior angle • Points on the exterior angle • Points on the angle itself. • Example: • Point Pis a point on the interior of the angle, point Qis the point on the exterior of the angle and Band Care points on the angle itself. B Q Exterior angle P Interior angle C 1 A
Acute angle • An angle whose measure is greater than 0 degree but less than 90 degrees. Examples:
Right angle • An angle whose measure is exactly 90 degrees • In indicating the right angle, note this mark Examples:
Obtuse angle • An angle whose measure is greater than 90ºbut less than 180º Examples:
Straight Line • It measures 180º. • If one angle in a linear pair is a right angle, then the other angle is also a right angle.
Reflex angle • Measures more than 180º but not greater than 360º.
Let’s take some exercises • Classify whether each angle measure is acute, right or obtuse angle. • 35º = Acute angle • 70º = Acute angle • 140º = Obtuse angle • 90º = Right angle • 28º = Acute angle
1. It is a geometric figure formed by the union of two different rays that are not on the same line but have a common endpoint. a. Measurement b. Angle c. Angle measurement
2. How many subset of points divides the angle? a. 4 b. 5 c. 3
3. What instrument to we use to measure an angle? a. ruler b. protractor c. degrees
4. What do you call an angle whose measure is greater than 90 degrees? a. acute angle b. right angle c. obtuse angle
5. What do you call an angle whose measure is exactly 90 degrees? a. acute angle b. obtuse angle c. right angle
Classify each angle given the following measure: • 45 degrees acute angle, right angle, obtuse angle • 90 degrees acute angle, right angle, obtuse angle 3) 87 degrees acute angle, right angle, obtuse angle 4) 50 degrees acute angle, right angle, obtuse angle 5) 97 degrees acute angle, right angle, obtuse angle
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