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.

$\begin{gathered} m\angle GHJ\text{ and m}\angle FGH\text{ are adjacent angles of the given parallelogram and these are supplementary.} \\ \end{gathered}$

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

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