In the following diagram, A || B. Use complete sentences to explain how the special angles created by the intersection of A and B by D can be used to solve for x. Solve for x, showing all of your work. Find the measure of ∠6.

x = 24; m<6 = 79

Step-by-step explanation:

Lines A and B are parallel. Corresponding angles of parallel lines cut by a transversal are congruent. Angles 3x + 7 and 6 are corresponding angles. They are congruent.

m<6 = 3x + 7

Angles 6 and 4x + 5 are a linear pair. Angles in a linear pair are supplementary, so their measures add to 180.

m<6 + 4x + 5 = 180

but m<6 = 3x + 7, so we substitute m<6 with 3x + 7, obtaining the equation

3x + 7 + 4x + 5 = 180

Now we solve the equation above for x.

7x + 12 = 180

7x = 168

x = 24

Now that we have a value for x, we substitute into an expression for the measure of angle 6.

m<6 = 3x + 7 = 3(24) + 7 = 72 + 7 = 79

x = 24; m<6 = 79

3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3