Question

find the values of unknown angle in this parallelogram ​

Answer 1

Answer:

In parallelogram Angle A = angle c

angle B = angle D

value of a = 150 °

value of c = 150°

value of D = 30 °

value of B = 30°

Step-by-step explanation:

3x+ 60°=4x+30°

x= 30°

so ,

angle a = 4x+30°

a= 4× 30 + 30°

a= 150°

angle a = angle c

angle c = 150°

angle b = angle a

rest angle = 360° - (150°+150°)

angle = 60°

let angle b be x

b + d = 60°

x+ x = 60°

2x = 60°

x = 30°

Answer 2

Step-by-step explanation:

in a parallelogram opposite angles are equal

angle A= angle C

4x+30°= 3x + 60°

4x-3x= 60°-30°

X = 30 °

angle A = 4×30°+30°

= 120°+30°

= 150°

angle A + angle D= 180°

150°+ angle D = 180°

angle D = 180°-150°

angle D = 30°

Y = Z = 30° (opposite angles are equal)

so X = 30°

X = 30°Y= 30°

X = 30°Y= 30°Z = 30°