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What is PAEC Theorem?
Pairs of Alternate Exterior Angle are Congruent
is this statement true or falseAngle 7 and angle 4 are alternate exterior angles.?
false
Choose two angles that are each separately alternate exterior angles with angle 12?
12
What is an exterior angle of a triangle?
It is: 180-interior angle = exterior angle
What does the Polygon Exterior Angle Sum Theorem say?
Theorem 6-1-2; Polygon Exterior Angle Sum Theorem:The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360 degrees.
How many alternate exterior angle pairs are shown?
2
Why are alternate interior angles and alternate exterior angles both called alternate?
Both alternate interior and alternate exterior angle pairs lie on opposite sides of the transversal.
What is PAEC Theorem?
Pairs of Alternate Exterior Angle are Congruent
Choose two angles that are each separately alternate exterior angles with?
To identify two angles that are alternate exterior angles, we can consider a pair of parallel lines cut by a transversal. For example, if we have lines ( l ) and ( m ) as parallel lines and line ( t ) as the transversal, then angle 1 (located on one exterior side of line ( l )) and angle 2 (located on the opposite exterior side of line ( m )) would be alternate exterior angles. These angles are equal, demonstrating the property of alternate exterior angles formed by a transversal intersecting parallel lines.
What angle relationships created when lines are cut by transversal?
1. Alternate Interior Angles 2. Alternate Exterior Angles 3. Corresponding Angles 4. Same-Side Interior Angles 5. Same-Side Exterior Angles
is this statement true or falseAngle 7 and angle 4 are alternate exterior angles.?
false
Choose two angles that are each separately alternate exterior angles with angle 12?
12
Choose two angles that are each separately alternate exterior angles with 12?
If angle 12 is located on a transversal intersecting two parallel lines, then the alternate exterior angles would be the angles formed on the opposite sides of the transversal and outside the two lines. For instance, if angle 12 is positioned at the top left, then angle A, located at the bottom right outside the parallel lines, and angle B, located at the top right outside the parallel lines, would both be alternate exterior angles with angle 12.
How much greater is the measure of an interior angle than an exterior angle of a regular pentagon?
The sum of interior and exterior angle = 180. The interior angle of a regular pentagon = (n-2)x180 / n = (5-2)x180/5 = 108 The exterior angle = 180 - 108 = 72 The interior angle is 35 degrees greater than exterior 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°.
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
is this statement true or falsethe converse of the alternate exterior angle theorem guarantees that line L and line n are parallel.?
true
