Same Side Interior angles are the angle pairs that are on the insides of the two lines (the interior) and on the same side of the transversal
a experior angle of a triangle is = to the 2 opposit interior angles of the triangle.
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They are equal corresponding angles.
1. Alternate Interior Angles 2. Alternate Exterior Angles 3. Corresponding Angles 4. Same-Side Interior Angles 5. Same-Side Exterior Angles
A co-exterior angle is almost the same thing as co-interior:Two angles on the same side of the transversal (in a figure where two parallel lines are intersected by a transversal).They are supplementary angles (add up to 180º).They are exterior angles meaning they are outsideof the two parallel lines (opposite of interior angles which are inside the two parallel lines).
If the hexagon it regular ie: all the interior angles are the same. Then the exterior angles will equal: 360 - Interior Angle=Exterior angle 360 - 120 = 240 Exterior angle equals= 240 NB: Interior angle equals 720/6
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.
There's lots of useful things you can discover when parallel lines are cut by a transversal, most of them having to do with angle relationships. Corresponding angles are congruent, alternate interior angles are congruent, same side or consecutive interior angles are supplementary, alternate exterior angles are congruent, and vertical angles are congruent.
The interior angle and central angle are supplementary, that is they always add up to 180 degrees, while the exterior angle and the central angle will always be the same.
The easiest way to solve this is to use the exterior angles of the polygon. The sum of an exterior angle and interior angle is 180o. Also the sum of all the exterior angles of a polygon is 360o. As the polygon is regular, all the interior angles are the same and all the exterior angles are the same. So, for an interior angle of 172o the exterior angle is 180-172 = 8o. The sum of all the exterior angles is 360o so how many 8o make up 360o? 360/8=45. Thus the polygon with interior angles of 172o has 45 sides.
For any given polygon, the exterior angles will sum to 360 degrees. Thus, for a regular polygon, dividing by the number of exterior angles (the same as the number of sides) will produce the exterior angle. For a dodecagon (12 sides), 360/12=30 degrees. You can also find the interior angle easily because the interior and exterior angles are supplementary: 180-30=150 degrees for an interior angle.
A transversal is simply a line that passes through two or more other lines . (the lines should be in the same plane) Transversals are important becasue if a transverals passes through or intersects two parallel lines we get some special angle congruences. The alternate interior angles are on opposite sides of the transversal line and inside the lines being transversed. Alternate exterior angles are on opposite sides of the transferal line and outside the lines being transversed. The alternate interior and alternate exterior angles are congruent if the lines being crossed by the transversal are parallel ( NOT to each other, the two alternate interiors are congruent and the two alternate exteriors are congruent.
No. The sum of the exterior angles of a polygon sum to 360o For a regular polygon, they are all the same size ⇒ dividing 360o by the exterior angle gives the number of sides. Interior angle = 154o ⇒ exterior angle = 180o - 154o = 26o ⇒ number of sides = 360o ÷ 26o = 1311/13 sides But a polygon must have a whole number of sides ⇒ 154o cannot be the interior angle of a regular polygon.
IF they are at the same vertex, then 180 degrees.