Question

please solve step by step and explain ​

Answer 1

Step-by-step explanation:

5a + (17a+48)= 180 ° [ Adjacent angles are supplementary ]

22a + 48 = 180°

22a = 180-48

22a = 132

a = 132/22 = 6

a = 6

Therefore, 5a = 5×6 = 30°

17a+48 = 17×6+48 = 150°

17a+48 = 20a +30 [ Opposite angles are equal ]

150 = 20a + 30

150-30 = 20a

120 = 20a

120/20 = a

a = 6

Therefore, 20a +30 = 20×6+30 = 150°

30+150+150+j = 360° [ Sum of all angles of a parallelogram is 360° ]

330+j = 360

j = 360-330

j = 30°

Therefore, H = 30° K = 150°

G = 150 °

J = 30°