Question

in parallelogram ABCD if angle a=4x-30,angle b=y+15,angle c=3x+20 find the value of x and y​

Answer 1

Answer:

x=30,y=105.

Step-by-step explanation:

In parallelogram opposite side are equal=

3x-20 =x+40

3x-x= 40+20

2x = 60

x.=30

linear pair of angle are 180.

(3x-20)+(y+15)=180

3x +y =180+20-15

3*30 +y=195

y= 195-90

y = 105

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Answer 2

Step-by-step explanation:

Opposite angles of a paral.... are congruent, therefore,

∠ a = ∠ c

4x - 30 = 3x + 20

4x - 3x = 30 + 20

x = 50

now, adjacent angles of a para.... have sum of 180°, therefore,

∠a + ∠b = 180°

(4x - 30 )+( y + 15) = 180

4(50) - 30 + 15 +y = 180

200 - 30 + 15 + y = 180

185 + y = 180

y = 180 - 185

y = ( -5 )