The exterior angle (∠ 5) is larger than either remote interior angle
( ∠ 7 and ∠ 8) then m ∠ 2 > m ∠ 8 and m ∠ 5 > m ∠ 8.
According to the exterior angle inequality theorem, the measure of any exterior angle of a triangle is greater than the measure of either of the opposite interior angles.
The adjacent interior angle and the exterior angle are supplementary. A triangle's exterior angles add up to 360º.
A triangle's exterior angle is always greater than its two remote interior angles.
By the Exterior Angle Inequality Theorem, the exterior angle (∠ 2) is larger than either remote interior angle (∠ 6 and ∠ 8).
Similarly, the exterior angle (∠ 5) is larger than either remote interior angle (∠ 7 and ∠ 8).
m ∠ 2 > m ∠ 8 and m ∠ 5 > m ∠ 8 .
Therefore, the correct answer is ∠ 2 and ∠ 5.
The complete question is:
Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition
Measures greater than m ∠ 8
To learn more about Exterior Angle Inequality Theorem refer to:
brainly.com/question/956912
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