A triangle's exterior angle is always greater than its two remote interior angles. The exterior angle ∠1 is greater than ∠3, ∠5, ∠7, and ∠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.
Since, angle 1 is an exterior angle of Δ ABE,
m∠1 > m∠3 and m∠4
Since, angle 1 is an exterior angle of Δ ABD,
m∠1 > m∠5
Since, angle 1 is an exterior angle of Δ ABC,
m∠1 > m∠7 and m∠8
Therefore, ∠1 is greater than ∠3, ∠5, ∠7, and ∠8.
The complete question is:
Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition.
a. Measures less than m ∠ 1 .
To learn more about Exterior Angle Inequality Theorem refer to:
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