Question

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

diagram is not to scale.
Name of the figure:
Measure of angle 1:
Measure of angle 2:
Measure of angle 3:
Measure of angle 4:

Answer 1

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