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What are collinear points?
When three or more lines lie on the same plane, then they are called collinear lines.
What are non-collinear points?
When three or more lines do not lie on the same plane, then they are called non-collinear lines.
Rays making an angle are called-
Rays making an angle are called arms of the angle.
Common end point of two rays that form an angle is called-
Common end point of two rays that form an angle is called vertex of an angle.
An acute angle is-
An acute angle lie between 0° and 90°.
An obtuse angle is-
An obtuse angle lie between 90° and 180°.
A right angle is-
A right angle is equal to 90°.
A reflex angle is-
A reflex angle lie between 180° and 360°.
Two angles whose sum is equal to 90° are called-
Two angles whose sum is equal to 90° are called complementary angles.
Two angles whose sum is equal to 180° are called-
Two angles whose sum is equal to 180° are called supplementary angles.
An angle is 30° less than its complement. What is the angle?
(1)
Two supplementary angles differ by 28°. What are the angles?
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An angle is equal to four times its complement. What is the angle?
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An angle is equal to one-fourth of its supplement. What is the angle?
(1)
Two complementary angles are in the ratio 4:5. What are the angles?
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Two supplementary angles are in the ratio 6:3. What are the angles?
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If two supplementary angles are (4x+2)° and (3x+3)°, find the value of “x”.
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In the following figure, OX and OY are opposite rays. If a=115°, find the value of b.
(1)
In the following figure, OX and OY are opposite rays. If b=60°, find the value of a.
(1)
How many pairs of adjacent angles are formed when two lines intersect in a point?
4 pairs of adjacent angles are formed when two lines intersect each other at a point.