ICSE Understanding Mathematics Class 8>Chapter 13 - Understanding Quadrilaterals>Check Your Progress

M L Aggarwal Solutions for Chapter: Understanding Quadrilaterals, Exercise 4: Check Your Progress

Author:M L Aggarwal

M L Aggarwal Mathematics Solutions for Exercise - M L Aggarwal Solutions for Chapter: Understanding Quadrilaterals, Exercise 4: Check Your Progress

Attempt the practice questions on Chapter 13: Understanding Quadrilaterals, Exercise 4: Check Your Progress with hints and solutions to strengthen your understanding. ICSE Understanding Mathematics Class 8 solutions are prepared by Experienced Embibe Experts.

Questions from M L Aggarwal Solutions for Chapter: Understanding Quadrilaterals, Exercise 4: Check Your Progress with Hints & Solutions

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8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 13 - Understanding Quadrilaterals>Check Your Progress>Q 8

In the adjoining figure, $A B C D$ is a rhombus and $E D C$ is an equilateral triangle. If $∠ D A B = 48 °,$ find $∠ D E B$ .

$[$ Hint. $∠ B C E = 48 ° + 60 ° = 108 °, B C = E C]$

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MEDIUM

8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 13 - Understanding Quadrilaterals>Check Your Progress>Q 8

In the adjoining figure, $A B C D$ is a rhombus and $E D C$ is an equilateral triangle. If $∠ D A B = 48 °,$ find $∠ B F C$ .

$[$ Hint. $∠ B C E = 48 ° + 60 ° = 108 °, B C = E C]$

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8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 13 - Understanding Quadrilaterals>Check Your Progress>Q 9

Find the number of sides of a regular polygon if each of its interior angle is $168 °$ .

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8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 13 - Understanding Quadrilaterals>Check Your Progress>Q 10

If the sum of interior angles of a polygon is $3780 °,$ find the number of sides.

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8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 13 - Understanding Quadrilaterals>Check Your Progress>Q 11

The angles of a hexagon are $(2 x + 5) °, (3 x - 5) °, (x + 40) °, (2 x + 20) °, (2 x + 25) °$ and $(2 x + 35) ° .$ Find the value of $x$ .

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8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 13 - Understanding Quadrilaterals>Check Your Progress>Q 12

Two angles of a polygon are right angles and every other angle is $120 ° .$ Find the number of sides of the polygon.

$[$ Hint. Let the number of sides be $n$ , then $2 \times 90 ° + (n - 2) \times 120 ° = (n - 2) \times 180 °]$

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8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 13 - Understanding Quadrilaterals>Check Your Progress>Q 13

The sum of interior angles of a regular polygon is twice the sum of its exterior angles. Find the number of sides of the polygon.

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8th ICSE

IMPORTANT

ICSE Understanding Mathematics Class 8>Chapter 13 - Understanding Quadrilaterals>Check Your Progress>Q 14

An exterior angle of a regular polygon is one-fourth of its interior angle. Find the number of sides in the polygon.