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The measure of an exterior angle of a triangle is120 degrees the interior angles that are not adjacent to this exterior angle are congruent find the measure of the interior angles of the triangle?
They are all 60 degrees.
How do you use the exterior angles of a triangle to find interior angle measurements?
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,
Is it true or false the measure of an exterior angle and the adjacent interior angle sum to 180 degress?
True
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
The measure of an exterior angle of a triangle is120 degrees the interior angles that are not adjacent to this exterior angle are congruent find the measure of the interior angles of the triangle?
They are all 60 degrees.
The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
Very rarely.
The measure of an exterior angle and the adjacent interior angle sum to 360 degrees because they form a linear pair?
False*APEX*
How do you use the exterior angles of a triangle to find interior angle measurements?
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,
Is it true or false the measure of an exterior angle and the adjacent interior angle sum to 180 degress?
True
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
If a non regular hextagon has five exteriorangle measures of 55 60 69 57 and 57 what is the measure of the interior angle adjacent to the sixth exterior angle?
Five of the six exterior angle measures of a nonregular hexagon measure 55, 60, 69, 57, and 57. what is the measure of the unterior angle adjacent to the sixth exterior angles?
Are remote interior angles of 1 Check all that apply.?
Remote interior angles are the angles that are not adjacent to a given exterior angle but are inside the triangle. For each exterior angle of a triangle, there are two remote interior angles. The sum of these remote interior angles is equal to the measure of the exterior angle. Thus, if you have a specific exterior angle, you can identify the two corresponding remote interior angles.
Does the measure of an exterior angle at the vertex of a polygon equal the measure of the adjacent interior angle?
The sum of an adjacent interior and its exterior angle will total to 360°. If the angles were to be equal, they would both have to be 180°. An angle of 180° is a straight line. A polygon may be composed of straight lines that intersect at vertices but a straight line has no vertex. That being the case, the answer to your question is "No".
What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
