There are nine angles at a point. One of them is 400 and all the other eight angles are equal.
What is the measure of each of those equal angles?
Answers
Answer:
efine the following terms:
(i) Angle
(ii) Interior of an angle
(iii) Obtuse angle
(iv) Reflex angle
(v) Complementary angles
(vi) Supplementary angles
ANSWER:
(i) Two rays OA and OB, with a common end-point O, form an angle AOB that is represented as ∠AOB.
(ii) The interior of an angle is the set of all points in its plane, which lie on the same side of OA as B and also on the same side of OB as A.
(iii) An angle greater than 90° but less than 180° is called an obtuse angle.
(iv) An angle greater than 180° but less than 360° is called a reflex angle.
(v) Two angles are said to be complementary if the sum of their measures is 90°.
(vi) Two angles are said to be supplementary if the sum of their measures is 180°.
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Question 2:
Find the complement of each of the following angles.
(i) 55°
(ii) 16°
(iii) 90°
(iv) 23 of a right angle
ANSWER:
Two angles whose sum is 90° are called complementary angles.
(i) Complement of 55° = 90° − 55° = 35°
(ii) Complement of 16°=(90−16)°=74°
(iii) Complement of 90° = 90° − 90° = 0°
(iv) 23 of a right angle⇒(90×23)°=60°
Complement of 23 of a right angle=(90−60)°=30°
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Question 3:
Explanation: