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

Important Questions on The Triangle and its Properties

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.
  

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), $EFA$ is a right-angled triangle with $\angle EFA={90}^o$ and $FGB$ is an equilateral triangle, find $y-2x$

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), $ABC$ and $DEF$ are two triangles, $CA$ is parallel to $FD$ and $CFBE$ is a straight line.
Find the value of $x+y$.

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), $ACDF$ is a rectangle and $BDE$ is a triangle. Find $\angle BED$.

EASY

7th Foundation

IMPORTANT

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

In the figure, $ABCD$ is a rectangle, $CEF$ is an equilateral triangle. Find $x$.

EASY

7th Foundation

IMPORTANT

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

Find the measure of $\angle LNM$ in the given figure.

MEDIUM

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 14

A long ladder reached a window $24 \mathrm{m}$ from the ground on placing it against a wall. Find the distance of the foot of the ladder from the wall.

MEDIUM

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 6 - The Triangle and its Properties>Exercise>Q 15

A tree is broken at a height of $5 \mathrm{m}$ from the ground and its top touches the ground at a distance of $12 \mathrm{m}$ from the base of the tree. Find the original height of the tree.