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Earn +20 ptsQ: Is an exterior angle of a triangle always acute?
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Can an acute-angled triangle have an acute exterior angle?
No. An interior angle plus its exterior partner add up to 180 degrees. In order for an exterior angle to be acute, its interior partner would have to be obtuse, which doesn't happen in an acute triangle.
What is an exterior angle of a triangle?
It is: 180-interior angle = exterior angle
Can the exterior angle of triangle be straight angle?
When any side of triangle is extended outwards then exterior angle is formed. Sum of this exterior angle and adjacent interior angle = 180o. If exterior angle = 180o(straight angle) then interior adjacent angle is 0o which is not possible. So exterior angle can't be straight angle.
What is the Exterior Angle Theorem for a Triangle?
An exterior angle of a triangle is equal in measure to the sum of the other two interior angles.
Which of these two regular polygons has the larger exterior angle a triangle or a heptagon?
It is the equilateral triangle that has the largest exterior angle of 120 degrees
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