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24 votes
24 votes
Can you please help me with this problem

User Althor
by
2.7k points

1 Answer

18 votes
18 votes

Answer

x = 7°

Step-by-step explanation

To solve this, we need to first describe corresponding angles.

Corresponding angles are angles that occupy similar positions on two parallel lines connected by another straight line (transversal line). As long as two parallel lines are involved, we know that corresponding angles are equal to each other.

From the image attached, 74° and (9x + 11)° are corresponding angles and are equal to each other

9x + 11° = 74°

9x = 74° - 11°

9x = 63°

Divide both sides by 9

(9x/9) = (63°/9)

x = 7°

Hope this Helps!!!

User Jorge Ribeiro
by
3.0k points