Question

Give the name that best describes the parallelogram and find the measures of the numbered angles. The

Answer 1

Answer:

Step-by-step explanation:

Remark

The way the sides of the figure are marked (they are marked as being equal.), the figure is a rhombus.

<96 and <2 + <1 are supplementary.

<1 = <2 because the diagonal bisects the angle it is connected to

Call <1 = <2 = x

96 + x + x = 180

96                 96          Subtract 96 from both sides

          2x     =84          Divide by 2

          2x/2 = 84/2

           x = 42

<1 = 42

<2 = 42

Now because opposite angles in a rhombus are equal, the diagonal will make <3 and <4 =  <2  + <1

<3 = 42

<4 = 42