Question

In parallelogram FGHJ if m^GHJ=55° find m ^ FGH. I

Answer 1

Given:

`m\angle GHJ=55^o\text{ and m}\angle FGH=x^o`

Recall that the adjacent angles of the parallelogram are supplementary.

We know that the sum of the supplementary angles is 180 degrees.

`m\angle GHJ+\text{m}\angle FGH=180^o`
`55^o+x^o=180^o`

`x^o=180^o-55^o`

`x^o=125^o`

Hence the answer is

`\text{ m}\angle FGH=125^o`