Question

If the shared side between angles 1 and 2 has a measure of 2×+9 and the shared side between angles 3 and 4 has a measure of 9x+1, what is the value of X? Round your answer to the nearest hundredth.

Answer 1

• x = 1.14

---------------------------

Given figure is a parallelogram since opposite sides are parallel.

Therefore the sides between angles 1 & 2 and 3 & 4 are of equal length:

• 2x + 9 = 9x + 1
• 9x - 2x = 9 - 1
• 7x = 8
• x = 8/7
• x = 1.14