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Sagot :
Answer
Angle 5 = 121º
Angle 7 = 121º
Explanation
To answer this, we need to explain what Same side interior angles and vertically opposite angles are.
Same side interior angles occupy the interior side of where the transversal line crosses the two stright lines. If the two lines are parallel to each other, then the sum of same side interior angles is equal to 180 degrees.
Vertical angles (or vertically opposite angles) are angles that are directly opposite each other at a point where two straight lines intersect. Vertical angles are equal to each other.
From the diagram, we can see that Angle 2 is vertically opposite to Angle 4. Hence,
Angle 2 = Angle 4 = 59º (vertically opposite angles)
Then, we can see that Angle 4 and Angle 5 are same side interior angles. Hence,
Angle 4 + Angle 5 = 180º (Same side interior angles)
59º + Angle 5 = 180º
Angle 5 = 180º - 59º
Angle 5 = 121º
We can then further see that Angle 5 is vertically opposite to Angle 7. Hence,
Angle 5 = Angle 7 = 121º (vertically opposite angles)
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