Question

Construct a quadrilateral abcd in which ab=4cm bc=7cm , angle a=c=108 degrees,angle d=60 degree

Answer 1

Answer:

(Sorry there is some error thus i can't upload the image but here are the steps.)

Steps:

STEP 1: Basically make angle a = 108degrees

STEP 2: draw a straight line of 4cm to b.

STEP 3: now we have to draw angle B... so we use angle sum property of quadrilateral to find B.

<A + <B + <C + <D = 360

108 + <B + 108 + 60 = 360

276 + <B = 360

<B = 84 degrees

STEP 4: Draw angle B

STEP 5: Draw a 7cm line to c point.

STEP 6: draw angle c = 108

STEP 7: now draw a continues line from c to any random point.

STEP 8: now draw a line from point A along the 108 degrees to meet the line that comes from angle c.

STEP 9: the point at which the two lines meet will be point D.

STEP 10: measure angle D to ensure it equals 60 degrees.

----------------------

Sorry i couldn't upload the image but hope this helps!