IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 5

EASY

7th Foundation

IMPORTANT

Earn 100

In the figure (not drawn to scale), $A B C$ is an equilateral triangle and $A B D$ is an isosceles triangle with $D A = D B$ , find $x$ .

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Important Questions on The Triangle and its Properties

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 6

If

A B C

is an isosceles triangle with

A B = A C

and

A D

is an altitude, then

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 7

Find the measure of the angle x in the given figure.

HARD

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 8

The given figure shows three identical squares. Find x.
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MEDIUM

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 9

In the figure (not drawn to scale),

E F A

is a right-angled triangle with

∠ E F A = 90^{o}

and

F G B

is an equilateral triangle, find

y - 2 x

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EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 10

In the figure (not drawn to scale),

A B C

and

D E F

are two triangles,

C A

is parallel to

F D

and

C F B E

is a straight line.
Find the value of

x + y

.

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EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 11

In the figure (not drawn to scale),

A C D F

is a rectangle and

B D E

is a triangle. Find

∠ B E D

.

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EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 12

In the figure,

A B C D

is a rectangle,

C E F

is an equilateral triangle. Find

x

.

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EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 13

Find the measure of

∠ L N M

in the given figure.
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