Lesson: Geometry Intermediate - 04t01

Parallelograms: Finding Degree Measures

[Page 4 of 24]

Task: In parallelogram FGHI, what is the degree measurement of < IFG? Type your answer into the text box, and then click Continue.

< IFG = 105

Since opposite angles in a parallelogram are equal, we know that < IFG has the same degree measurement as < IHG.

To find < IHG, we need to know the value of a. Since adjacent angles in a parallelogram are supplementary, we know that 15a + 5a + 80 = 180. We can solve for a:

20a = 100
a = 5

< IHG and therefore < IFG, have a degree measurement of 5(5) + 80 = 105.

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