Q.. Construct a quadrilateral PQRS in which angle P=120° ,
angle Q=80°, angle R=70° and
PQ=QR=5.2cm.
Please Help!!!
Answers
Answer:
S=90°
HOPE IT HELPS YOU.
SUM OF ALL ANGLES OF QUADRILATERAL IS 360°
Step-by-step explanation:
Its very easy but lengthy
first find angle s
in quadrilateral , sum if all angle =360
P+Q+R+S = 360°
120+80+70+ S = 360
S= 360-270 = 90°
Now with the help of scale draw a line pq = 5.2cm
on your notebook.
Next take a protractor and measure the same length=5.2cm for QR as we know PQ=QR.
With the help of compass align the mid point of compass with Q such that the other side should overlap(fall right above the line PQ. Now, mark 80 in the compass and draw a line to that point,
with the help of your protractor cut the newly drawn line which should measure 5.2cm. Name that point R and now from R measure 70° and draw a light line so that you can erase the remaining parts later and from P mark 120 with the help of compass , now that the new lines intersect each other at point S,
measure your Angle S with your compass and if it is 90 ,,, viola !! you've done it.