Question

the value of x in the given figure is?

Answer 1

Answer:

Step-by-step explanation:

Sum of all the angles should be 180°

=> x/3 + 8 + 3x/4 - 18 + x/2 = 180

=> x /3 + 3x/4 + x/2 + (8 - 18) = 180

=> 4x + 9x + 6x /12  = 190

=> 19x/12 = 190

=> x = 190 * 12/19

        = 120.

The angles are 48°, 72°, 60°

Answer 2

Answer:

x = 120

Step-by-step explanation:

(1/3x + 8) + (3/4x - 18) + 1/2x = 180

Since angles on a straight line sum up to 180.

1/3x + 8 + 3/4x - 18 + 1/2x = 180

(1/3 + 3/4 + 1/2)x + (8 - 18) = 180

                        19/12x - 10 = 180

                               19/12x = 180 + 10

                                       x = 190 x 12/19

                                       x = 120 (Ans)