1. Define the following terms:
(1) Angle
(iii) Obtuse angle
(v) Complementary angles
(u) Intenor of an angle
(iv) Reflex angle
(vi) Supplementary angles
Answers
1) Angle-
an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. ... Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection.
(iii) Obtuse angle –
An angle whose measure is more than 90° but less than 180° is called an obtuse angle.
(iv) Reflex angle –
An angle whose measure is more than 180° but less than 360° is called a reflex angle.
(v) Complementary angles –
Two angles are said to be complementary, if the sum of their measure is 90°.
(vi) Supplementary angles-
Two angles are said to be a supplementary angle if the sum of their measures is 1800. It is not necessary that a supplementary angle will lie on the same line, they can be on different lines but should measure 1800. In the supplementary angles if one is an acute angle then the other is an obtuse angle.
(u) interior of an angle-
The area between the rays that make up an angle, and extending away from the vertex to infinity.
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Answer:
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(i) Angle- When two rays meet at a point the inclination between them is called an angle.
(ii) Obtuse Angle- An obtuse angle has a measurement greater then 90° but less than 180°.
(iii) Complementary Angle- When sum of angle is 90° than they are called Complementary angles.
(iv) Interior of an angle- The area between the rays that make up an angle and extending away from vertex to infinity.
(v) Reflex Angle- A reflex angle has a measurement greater than 180° and less than 360°.
(vi) Supplementary Angle- When the sum of two angle is 180° than they are called supplementary angle.
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