Question

in this diagram find the value of of x​

Answer 1

Answer:

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Answer 2

Answer:

44°

, 79°  and 57°

Step-by-step explanation:

Let the unknown angle be x

(6x - 40)°  + (5x + 9)°  + (3x + 15)°  = 180°  (Supplementary angles)

= (6x + 5x + 3x) + [(-40) + 9 + 15) = 180°

= 14x + (-16) = 180°

= 14x = 180°  - (-16)

= 14x = 196°

= x = 14°

Now, to find the angles: we have:

(i) 6x - 40 = 6 x 14 - 40 = 44°

(ii) 5x + 9 = 5 x 14 + 9 = 79°

(iii) 3x + 15 = 3 x 14 + 15 = 57°

So, the angles are 44°

, 79°  and 57°

.

Hope it helps you!