Lesson: Geometry - 24t01

Finding Degree Measurement

[Page 24 of 30]

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

∠ IFG = 105

Countinue

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:

2a = 100
a = 5

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

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