Question

6. Construct a quadrilateral WXYZ with WX=6 cm, XY= 3 cm, angle X = 90°, angleZ= 75° and angleY= 75°​

Answer 1

Answer:

draw a rough diagram with given measurments

draw a line segment wx with 6cm

a

Answer 2

Given : WX=6 cm, XY= 3 cm, angle X = 90°, angleZ= 75° and angleY= 75°​

To construct :  quadrilateral WXYZ

Explanation:

we know that sum of all the angle of quadrilateral is 360 degree

thus

$\angle W + \angle X+ \angle Y + \angle Z = 360 ^\circ \\\\\angle W + 90+75+75 =360\\\\\angle W = 120^\circ$

Steps :

• Draw a line segment WX = 6 cm
• with X as a center draw an angle of 90°
• with X as a center and radius = 3 cm mark a point on the line XC and name it as Y
• with Y as a center draw an angle of 75°
• and with W as a center draw an angle of 120° and and the ray as WB
• let the ray WB cuts the ray YA at a point an name it as Z

WXYZ   is the required quadrilateral

#Learn more :

https://brainly.in/question/7469198