The measure of ∠6 is 99°. Therefore, option C is the correct answer.
Given that, ∠5=(10x – 9)° and ∠7=(9x)°.
We need to find the measure of ∠6.
What are vertically opposite angles?
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
Here, ∠5=∠7 (∵Vertically opposite angles)
⇒(10x – 9)°=(9x)°
⇒x=9°
So, ∠5=(10x – 9)°=81° and ∠7=(9x)°=81°
Now, ∠5+∠6=180° ((∵Linear pair of angles)
⇒81°+∠6=180°
⇒∠6=99°
Therefore, option C is the correct answer.
To learn more about the parallel lines visit:
https://brainly.com/question/19300779.
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