1 Answer

Youssef CH · Answer 1 · 2024-12-16T19:16:37+0000

Answer:

x = 8

Explanation:

In the diagram attached below, the angle marked in blue is equal to 15x, as it is vertically opposite to the angle marked 15x in the question.

Additionally, the blue angle and the angle marked 120° are equal as they are corresponding angles.

Therefore,

$(15x)^(\circ) = 120^(\circ)$

⇒
$x = (120^(\circ))/(15^(\circ))$ [Dividing both sides of the equation by 15]

⇒
$x = \bf 8$

Therefore, the value of x is 8.

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