Question

if you are a brainliest answer this​

Answer 1

Answer:

As per angle sum property of a quadrilateral

Angle A +Angle B +Angle C +Angle D = 360

Here, <A +<C =180°

2x +4+4y-4 =180

2x +4y =180

X +2y = 90...........(1)

< B +<D =180°

x+10 +5y +5 =180

X+5y =180 - 15

X +5y = 165.......(2)

Solving (1) and (2) by elimination method

X +5y =165

X +2y =90

- - -

_____________

3y = 75

Y =75/3

Y =25

From (1)

X +2y =90

X + 2(25) =90

X + 50 =90

X = 90 - 50

X =40

So, we get x =40° and y = 25°

So, <A =(2(40) +4)

= 84°

<B = 40 + 10 =50°

<c = 4(25) - 4

= 100 - 4 = 96°

<D = 5(25) +5

=130°

<A +<B+<C +<D=360°

84 +50 +96 +130 =360

360 = 360

Hence, verified