WXYZ is a parallelogram. WOZ = 110 WZO=36 and OZY=44° Find WXY
and a, b and c.
PLEASE ANSWER THE QUESTION IF YOU KNOW THE ANSWER IF YOUR ANSWER IS IRRILATIVE I'LL REPORT THAT ANSWER
Answers
answer :
A=66
B=34
C=44
WXY=80
full Aus chahiye to batana
Explanation:
Given:-
WXYZ is a parallelogram. WOZ = 110 WZO=36 and OZY=44° .
To find:-
Find WXY and a, b and c.
Solution:-
From the given figure , WXYZ is a Parallelogram
angle WOZ = 110°
angle WZO=36°
angle OZY = 44°
angle Z = angle WZO +angle OZY
angle Z = 36°+ 44°= 80°
Opposite angles are opposite are equal in Parallelogram
angle Z = angle X=80°
and Adajacent angles are supplementary
angle X+ angle Y =180°
=>80°+ angle Y =180°
=>angle Y=180°-80°
=>angle Y=100°
angle Y = angle W=100°
a+b=100°-----(1)
angle WOZ+angle ZOY=180°
=>110°+angle ZOY=180°
=>angle ZOY=180°-110°
=>angle ZOY=70°
In ∆ZOY , The sum of all angles =180°
=>angle ZOY+angle ZYO+angle 0ZY=180°
=>70°+a+44°=180°
=>a+114°=180°
=>a=180°-114°
=>a=66°
from (1)
66°+b=180°
=>b=180°-66°
=>b=114°
in ∆XWZ
angle YZW+angle W+angle ZXW=180°
=>36°+100°+c=180°
=>136°+c=180°
=>c=180°-136°
=>c=44°
a=66° ,b=114° and c=44°
Answer:-
a=66° ,b=114° and c=44°
angle WXY=angle X=80°