224,753 views
13 votes
13 votes
Need help with number 8

Need help with number 8-example-1
User Yaakov Belch
by
2.9k points

1 Answer

18 votes
18 votes

Answer:

x = 14 2/3

Explanation:

it is a parallelogram.

that means AB is parallel to CD, and AD to BC.

it also means that the total angles at B and D must be equal. and the total angles at A and C.

and the sum of all angles in a parallelogram is 360 degrees.

so, we have

360 = 2×(4x + 4x + 8) + 2×(x + 10 + 2x + 8) =

= 8x + 7x + 16 + 2x + 20 + 4x + 16 =

= 21x + 52

308 = 21x

x = 14.666666666.... = 14 2/3

User AMadinger
by
3.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.