History, asked by shreyamishra8374, 2 months ago

WXYZ is a parallelogram. WOZ = 110 WZO=36 and OZY=44° Find WXY
and a, b and c.

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Answers

Answered by shreyansh6745
1

answer :

A=66

B=34

C=44

WXY=80

full Aus chahiye to batana

Answered by tennetiraj86
6

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°

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