Question

Use the Exterior Angle Theorem to determine which of the following angle measures is NOT greater than <4

<12
<15
<6
<10

Answer 1

Using the Exterior Angle Theorem, the answer is:

Option 3: <6

Explanation:

We can take that <4 belongs to a triangle with angles: <4, <5, and <11

and exterior angles: <12, <10, <15, and <14

Using the Exterior Angle Theorem, we can write:

<12=<4+<5, then <12 is greater than <4 and <5

<10=<4+<5, then <10 is greater than <4 and <5

<15=<4+<11, then <15 is greater than <4 and <11

<14=<5+<11, then <14 is greater than <5 and <11

Then, the <6 is NOT greater than <4 (Option 3)