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zimovet [89]
3 years ago
8

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

Mathematics
2 answers:
saul85 [17]3 years ago
5 0

Answer: m∠FGH = 125°

Step-by-step 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°

hodyreva [135]3 years ago
4 0

Answer:

∠ FGH = 125°

Step-by-step 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°

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