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.

Step-by-step explanation:

The special angles created by the intersection of A and D can be used to solve for x because there are supplementary angles amongst them while some are vertically opposite to one another. They are all linked to one another.

Angle (4x + 5) and angle (3x + 7) are supplementary angles i.e

add up to 180°.

4x + 5 + 3x + 7 = 180°

7x + 12 = 180

7x = 168

x = 168/7

x = 24.

<6 = 3x + 7

= 3 ×24 +7

= 72 + 7

= 79°

x+14

step-by-step explanation:

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.