Advertisements
Advertisements
Question
Construct a quadrilateral NEWS in which NE = 7 cm, EW = 6 cm, ∠N = 60°, ∠E = 110° and ∠S = 85°.
Advertisements
Solution
Fourth angle = 360° – (60° + 110° + 85°)
= 360° – 255°
= 105°
Steps of construction:
Step I: Draw NE = 7 cm.
Step II: Make ∠NEX = 110°
Step III: With E as centre and radius 6 cm, draw an arc, cutting EX at W.
Step IV: Make ∠EWY = 105°
Step V: Make ∠ENZ = 60°, so that NZ and WY intersect each other at point S.
Hence, NEWS is the required quadrilateral.
APPEARS IN
RELATED QUESTIONS
Complete of the following, so as to make a true statement:
The number of pairs of opposite angles of a quadrilateral is .......
The angles of a quadrilateral are 110°, 72°, 55° and x°. Find the value of x.
Calculate the measure of each angle of a nonagon.
If bisectors of ∠A and ∠B of a quadrilateral ABCD intersect each other at P, of ∠B and ∠C at Q, of ∠C and ∠D at R and of ∠D and ∠A at S, then PQRS is a ______.
The diagonals of the quadrilateral DEFG are ______ and ______.
Both the pairs of opposite angles of a quadrilateral are equal and supplementary. Find the measure of each angle.
In the following figure, What is BD – BE?
In the following figure, What is BD – DE?
Using the information given, name the right angles in part of figure:
RT ⊥ ST
What conclusion can be drawn from part of given figure, if BD bisects ∠ABC?
