Question

In the given figure, find the value of x:

Answer 1

Answer:

B= 180- (34+30) =180-64=116

angle EBD=180-116=64

angleE=180-(45+64)=180-109=71

angle x=180-71=109..... answer

Answer 2

Answer:Given angles are angle CAB= 34°,angle ACB= 30°, angle EDB=45°

Now, we know by angle sum property sum of all angles of triangle = 180°

in triangle ACB

angle CAB + angle ACB +angle ABC= 180°

34°+30°+ X=180°

X= 116°

AND      X+ angle CBD = 180°

116°+Y=180°

⇒Y= 64°

now in triangle EBD,

angle EBD + angle EDB +angle BED=180°

64°+ 45°+ Z =180°

Z=71°

Also, angle CED+ angle BED= 180°

x+71°=180°

x=180°-71°

x=109°

so here is your answer x=109°

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