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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 noncollinear points?
When three or more lines do not lie on the same plane, then they are called noncollinear 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?
(1)
An angle is equal to four times its complement. What is the angle?
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An angle is equal to onefourth of its supplement. What is the angle?
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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.