Answer:
C) Group of angles measures 43° = angle 1 , 3 , 5.
Step-by-step explanation:
Given : A pair of parallel lines is cut by a transversal.
To find : Which group of angles measures 43°.
Solution : We have 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,C) Group of angles measures 43° = angle 1 , 3 , 5.
