A transversal divides two parallel lines. Angles 1, 3, and 5 make comprise the 43° group of angles.
Is two lines are cut by a transversal?
Each set of alternate internal angles created by a transversal when two parallel lines are sliced are equal. Each pair of internal angles on the same side of the transversal are supplementary, or they add up to 180 degrees, if two parallel lines are sliced by it.
If the corresponding angles at the intersection of any two lines are equal, the intersection is said to be a parallel one. If the opposing interior angles of any two lines intersected by a transversal are equal, the lines are said to be parallel.
Given : A pair of parallel lines is cut by a transversal.
∠1 + 137 ° = 180° ( Linear pair angle ) .
On subtracting both sides by 137
∠1 = 180 -137 .
∠1 = 43°.
Then, ∠1 = ∠3 ( Vertically opposite angles)
So, ∠3 = 43°.
Now, ∠3 = ∠5 ( Alternate interior angle ) .
So, ∠5 = 43°.
group of angles measures 43° = angle 1 , 3 , 5.
Therefore, the correct answer is option C) angles 1, 3, 5.
The complete question is:
A pair of parallel lines is cut by a transversal. Which group of angles measures 43°?
A. angles 1, 2, 3
B. angles 2, 5, 4
C. angles 1, 3, 5
D. angles 5, 6, 7
E. angles 3, 4, 6
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