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Q: Is An interior angle of a triangle and one of its adjacent exterior angles supplementary?

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They are called supplementary angles.

No. It is equal to the sum of the opposite interior angles.

They are all 60 degrees.

Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,

Interior and adjacent exterior angles form a straight line so exterior angle = 180 - interior angle. If you are satisfied with this reply please consider awarding a Recommended Point to the responder.

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They are called supplementary angles.

Are two angle of a triangle that are not adjacent to the exterior angle

Remote interior angles

No. It is equal to the sum of the opposite interior angles.

They are all 60 degrees.

Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,

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.

Yes it does. Good work!

Interior and adjacent exterior angles form a straight line so exterior angle = 180 - interior angle. If you are satisfied with this reply please consider awarding a Recommended Point to the responder.

Exterior and interior angles at the vertex of a triangle add up to 180 degrees

Exterior and interior angles at the vertex of a triangle add up to 180 degrees

Exterior and interior angles at the vertex of a triangle add up to 180 degrees

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