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How many sides on a pentagon?

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Important Questions on Shapes and Designs

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Mathematics>Geometry>Shapes and Designs>Shapes

In the given figure, find the number of triangles and name them.

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Mathematics>Geometry>Shapes and Designs>Shapes
What is the measure of each angle of an equilateral triangle?
EASY
Mathematics>Geometry>Shapes and Designs>Shapes
In a ∆ABC, if ∠A = 72° and ∠B = 63°, find ∠C.
HARD
Mathematics>Geometry>Shapes and Designs>Shapes

Identify the number of triangles in the figures. Name the type of triangles.

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Mathematics>Geometry>Shapes and Designs>Shapes
Find the angles of a triangle which are in the ratio 4:3:2.
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Mathematics>Geometry>Shapes and Designs>Shapes
In the given figure, DE || BC. If ∠A = 65° and ∠B° = 55, find ∠ADE.

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MEDIUM
Mathematics>Geometry>Shapes and Designs>Shapes
Draw a rough sketch of a triangle ABC. Name its sides, vertices, and angles. Draw all the medians of the triangle.
EASY
Mathematics>Geometry>Shapes and Designs>Shapes
Draw a ∆ABC. Take a point D on BC. Join AD. How many triangles do you get? Name them.  
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Mathematics>Geometry>Shapes and Designs>Shapes
The acute angles of a right triangle are in the ratio 2:1. Find each of these angles.
EASY
Mathematics>Geometry>Shapes and Designs>Shapes
One of the acute angles of a right triangle is 36°. find the other.
MEDIUM
Mathematics>Geometry>Shapes and Designs>Shapes

Find the number of triangles in the given figure.

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EASY
Mathematics>Geometry>Shapes and Designs>Shapes
Can an isosceles triangle be a right triangle?
MEDIUM
Mathematics>Geometry>Shapes and Designs>Shapes
Each of the two equal angles of an isosceles triangle is twice the third angle. Find the angles of the triangle.
EASY
Mathematics>Geometry>Shapes and Designs>Shapes

In the given figure, find the triangles with vertex E.

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EASY
Mathematics>Geometry>Shapes and Designs>Shapes
In a ∆XYZ, if ∠X = 90° and ∠Z = 48°, find ∠Y.
EASY
Mathematics>Geometry>Shapes and Designs>Shapes
Can a triangle have two right angles?
EASY
Mathematics>Geometry>Shapes and Designs>Shapes
Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?
EASY
Mathematics>Geometry>Shapes and Designs>Shapes

A triangle may have four vertices.

MEDIUM
Mathematics>Geometry>Shapes and Designs>Shapes
In a ∆ABC, if 2∠A=3∠B=6∠C, calculate ∠A,∠B and ∠C.
EASY
Mathematics>Geometry>Shapes and Designs>Shapes
Explain the following term:
Interior of a triangle