Question

In the rectangle below, FH=8x-4, E1=22, and m Find the value of x and mLIHG.

Answer 1

FH = EG

EG = 2EI ⇒ FH = 2EI = 2(22) = 44

8x - 4 = 44 ⇔ 8x = 44 + 4 ⇔ 8x = 48 ⇔ x = 48/8

⇒ x = 6

m∠EGH = 90°-m∠GEH = 90°-m∠IEH = 90°-28° = 62°

m∠EGH = m∠IGH = m∠IHG

⇒ m∠IHG = 62°