मराठी
सी.आई.एस.सी.ई.आयसीएसई ICSE Class 8

From the following figure find; x ∠ABC ∠ACD - Mathematics

Advertisements
Advertisements

प्रश्न

From the following figure find;

  1. x
  2. ∠ABC
  3. ∠ACD
बेरीज
Advertisements

उत्तर

(i) In Quadrilateral ABCD,

x + 4x + 3x + 4x + 48° = 360°

12x = 360° – 48°

12x = 312

x = `312/12` = 26°

(ii) ∠ABC = 4x

4 × 26 = 104°

(iii) ∠ACD = 180° − 4x − 48°

= 180° − 4 × 26° − 48°

= 180° − 104° − 48°

= 180° − 152° = 28°

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 16: Understanding Shapes - Exercise 16 (C) [पृष्ठ १८७]

APPEARS IN

सेलिना Concise Mathematics [English] Class 8 ICSE
पाठ 16 Understanding Shapes
Exercise 16 (C) | Q 6 | पृष्ठ १८७
सेलिना Mathematics [English] Class 6
पाठ 27 Quadrilateral
Exercise 27 (A) | Q 6

संबंधित प्रश्‍न

How many diagonals does following have?

A regular hexagon


Define the following term Quadrilateral .

 


In a quadrilateral, define of the following  Opposite angles .


Complete of the following, so as to make a true statement:

A quadrilateral is convex if, for each side, the remaining ______ lie on the same side of the line containing the side. 


Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.

 

The sides of a quadrilateral are produced in order. What is the sum of the four exterior angles?

 

Complete the following statement by means of one of those given in brackets against each:

A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point. 


Complete the following statement by means of one of those given in brackets against each:

If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............


In a trapezium ABCD, side AB is parallel to side DC. If ∠A = x° and ∠D = (3x – 20)°; find the value of x.


The angles A, B, C and D of a quadrilateral are in the ratio 2 : 3 : 2 : 3. Show this quadrilateral is a parallelogram.


In parallelogram ABCD, ∠A = 90°

(i) What is the measure of angle B.

(ii) Write the special name of the parallelogram.


Write, giving reason, the name of the figure drawn alongside. Under what condition will this figure be a square.


Find the angles of a pentagon which are in the ratio 4: 4: 6: 7: 6.


The angles of a pentagon are x°, (x - 10)°, (x + 20)°, (2x - 44)° and (2x - 70)°. Find the angles.


Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.


If the sum of two angles is greater than 180°, then which of the following is not possible for the two angles?


In the following figure, name any four angles that appear to be acute angles.


What conclusion can be drawn from part of given figure, if BD bisects ∠ABC?


Draw a rough sketch of a quadrilateral KLMN. State two pairs of adjacent angles.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×