Question

Find the unknown angles in the following figures​

Answer 1

Answer:

55,95

Step-by-step explanation:

x = angle EDC(Corresponding angles)

and angle DEC=180-95(They are on a straight line)

=85

now apply angle sum property on ∆DEC

x+85+40=180(A.S.P)

x=55

and y =x+40

y=95

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Answer 2

Answer:

X=55andY=140answer

Step-by-step explanation:

AB//DE

So angle BAE+DEA=180°(corresponding angles)

BAE+95°=180

BAE=180-95

BAE=85°

ABC IS A TRIANGLE

So,

angle A+B+C=180

85+X+40=180

X=180-125

X=55

Y=B+C(sum property of triangle)

Y=55+85

Y=140

I hope it helps you