Question

In parallelogram FGHJ if m∡ GHJ=55˚ find m∡FGH

Answer 1

Answer: m∠FGH = 125°

Explanation:

In a parallelogram, adjacent angles are supplementary (add up to 180°).

From the diagram, we can see that m∠GHJ and m∠FGH are adjacent.

This means that:

m∠GHJ + ∠FGH = 180° where ∠FGH is ∠x and ∠GHJ = 55°

55° + m∠x = 180° (subtract 55 from both sides)

m∠x = 125°

Answer 2

∠ FGH = 125°

Explanation:

The consecutive angles in a parallelogram are supplementary, then

∠ FGH + ∠ GHJ = 180° , that is

∠ FGH + 55° = 180° ( subtract 55° from both sides )

∠ FGH = 125°