Question

Construct a quadrilateral WXYZ with WX = 4 cm, WZ = 5 cm, angle W = 60°, angle X = 90° and angle Z = 90
Find the measure of the 4th angle of this quadrilateral​

Answer 1

Answer:

⇒ Draw a line segment WX=7cm

⇒ Construct an angle of 90

∘

at points W and X.

⇒ Cut off WZ=4cm and XY=4cm

⇒ Join YZ and WY

⇒ Thus, WXYZ is a required rectangle.

⇒ We know that all four angles in rectangle is 90

∘

.

⇒ In right angled △WXY

⇒ WY

2

=WX

2

+XY

2

[Pythagoras theorem]

⇒ WY

2

=7

2

+4

2

⇒ WY

2

=49+16

⇒ WY

2

=65

⇒ WY=

65

cm

∴ Length of diagonal is

65

cm

Answer 2

Answer:

same to you. This is in my book too. I want the answer for this too.