Question

In the following diagram line C Intersects line D. A 21 3x+7 22 B 24 26 25 4x+5 5y-29 27 28 3y+19 D Figure may not be drawn to scale. A. Using complete sentences, classify the relationship between 27 and 28 created by the intersection of lines and D. B. Use complete sentences to explain how the special angles created by the Intersection of lines C and D can be used to solve for y. C. Solve for y and find the measures of 27 and 28.PLEASEEEEE HELPP MEEEE !!!

Answer 1

Intersection of lines,find and complete sentences

Relationship between <7 and <8

Then <7 + 5y - 29 = 180°

and <8 + 3y + 19 = 180°

Also

5y - 29 = 3y + 19 ( because both angles are opposed)

5y-3y = 2y = 19+29 = 48

y= 48/2 = 24

Now find measures of <7 and <8

<7 = 180+29 - (5x24) = 209 - 120 = 89 degrees

<8 = 180 -19 - (3x24) = 161 - 72 = 89 degrees