EASY
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Identify the initial side of the angle.

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Important Questions on Angles and Their Properties

EASY

How many angles are formed in the figure given below? Name them.

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MEDIUM
In ∠XYZ, ∠Y = 90o , XY = 2√6 & XZ-YZ=2 then the value of sec X - tanX is equal to-
MEDIUM
If a and b are complementary angles then what $$\sqrt { coseca\quad cosecb } { (\cfrac { sina }{ sinb } +\cfrac { cosa }{ cosb } ) }^{ -\cfrac { 1 }{ 2 } }$$ is equal to ?
MEDIUM

Name the vertex and the arms of ABC.

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MEDIUM
Use the Law of Sines. Find $$\angle$$C to the nearest tenth.
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EASY
If an angle equals two-third of its supplementary, then the measurement of the angle is:
MEDIUM
The total area of a circle and a rectangle is equal to 1166 cm2. The diameter of the circle is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is 25 cm?
EASY
Draw rough diagrams of two angles such that they have one point in common.
 
MEDIUM
If the sum of two angles is 135o and their difference is π/12. Then, the circular measure of the greater angle is -
HARD
The length of the shadow of a tower is 9 meters when the sun's altitude is 30o. What is the height of the tower ?
EASY

In the given figure, write another name for 1.

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MEDIUM
Use the Law of Sines. Find b to the nearest tenth.
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EASY

Investigate.
In the given figure, the angle measures 30°. Look at the same figure through a magnifying glass.
Does the angle become larger? Does the size of the angle change?

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EASY

In the given figure, list the points which are in the interior of AOB

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MEDIUM

The value of x in the figure given is _____.

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MEDIUM
The angle of elevation of the top of a tower from a certain point is 30° . If the observer moves 20 m towards the tower, the angle of elevation of the top of the tower increases by 15° . The height of the tower is :
HARD
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If the following is a right triangle. Find y: