Question

(15 Points)

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

Answer 1

C. Angles 1,3 and 5 measure 43

Answer 2

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.