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HELPPP!!! ASAPPP!!! PLEASEEEE!!!! WILL GIVE EXTRA POINTS!!

A. 7.47
B. 8
C. 4.53
D. 4

HELPPP!!! ASAPPP!!! PLEASEEEE!!!! WILL GIVE EXTRA POINTS!! A. 7.47 B. 8 C. 4.53 D-example-1

2 Answers

3 votes

Answer:

C. 4.53

Explanation:

So we know that the total among these angles measure 180°

(straight lines paralleled with r and s) those lines are 180 degrees.

So subtract 180° - 116° to get rid of the other angle

180° - 116 = 64°

Then use the statement below to identify the value of y.


15y-4=64


15y+4 = +4 It's easier if you add 4 to both sides


15y=68 Solve for y

y = 4.53

User Famargar
by
5.1k points
5 votes

The value of Y is 8 . Option B. 8 is correct .

To solve for y, we can use the alternate interior angles theorem. This theorem states that when two parallel lines are cut by a transversal, the alternate interior angles are equal.

In the diagram, we can see that angles 116° and 15y-4° are alternate interior angles. Therefore, we can set these two angles equal to each other.

116° = 15y-4°

Adding 4° to both sides of the equation, we get:

120° = 15y

Dividing both sides of the equation by 15, we get:

y = 8

Therefore, the answer is B. 8.

User Matti Wens
by
5.2k points