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
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of opposite sides.
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of opposite angles.
If ABCD is a rectangle with ∠BAC = 32°, find the measure of ∠DBC.
Two opposite angles of a parallelogram are 100° each. Find each of the other two opposite angles.
ΔPQR and ΔSQR are on the same base QR with P and S on opposite sides of line QR, such that area of ΔPQR is equal to the area of ΔSQR. Show that QR bisects PS.
Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is ______.
In quadrilateral WXYZ, the pairs of opposite angles are ______.
In the following figure, What is AE + EC?
In the following figure, What is AC – EC?
What conclusion can be drawn from part of given figure, if DB is the bisector of ∠ADC?
