# Can the measure of an exterior angle of a triangle ever equal the measure of its adjacent interior angle?

## Can the measure of an exterior angle of a triangle ever equal the measure of its adjacent interior angle?

An exterior angle should equal the sum of the remote interior angles of a triangle. In the triangle above, the exterior angle of the triangle, angle ACD, will equal the sum of the measures of interior angles BAC and ABC. An exterior angle and its adjacent interior angle are supplementary angles, so they add to 180°.

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## What can you say about the sum of an exterior angle of a triangle and its adjacent interior angles?

The sum of an exterior angle and its adjacent interior angle is also 180 degrees.

What is the sum of exterior angle?

The sum of all the exterior angles in a polygon is equal to 360 degrees.

### What is true about the exterior angle of a triangle?

Properties. An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem. If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.

### What is the measure of the exterior angle?

360 degrees
Exterior angles of a polygon have several unique properties. The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

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Are the exterior angle formed at each vertex of a triangle equal?

No, The exterior angle formed at the vertices of a triangle are not equal. The exterior angle is equal to the sum of the two opposite interior angles.

## How do you find the sum of the exterior angles of a triangle?

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.

## What is the exterior angle of a triangle equal to?

If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. Do all polygon exterior angles add up to 360?

What is the exterior angle theorem in geometry?

Exterior Angle Theorem. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle. Proof:

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### What is the difference between interior angle and exterior angle?

The Interior angle is an angle between the adjacent sides of a triangle and an exterior angle is an angle between the side of a triangle and an adjacent side extending outward.

### How do you find the measure of an exterior angle?

Exterior Angle Theorem. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle. m ∠ 4 = m ∠ 1 + m ∠ 2. Proof: Given: Δ P Q R.