What does S 180 n 2 mean?
What does S 180 n 2 mean?
It is common knowledge that the sum of the angles in a triangle is 180° but how about in polygons with a greater numbers of angles? If we are given a convex polygon with n sides and S is the sum of the measures of the interior angles then S = 180(n – 2).
What is the alternate interior angle of angle 2?
The term alternate interior angles is often used when two lines are cut by a third line, a transversal . The Alternate Interior Angles Theorem states that if k and l are parallel , then the pairs of alternate interior angles are congruent . That is, ∠2≅∠8 and ∠3≅∠5 .
What does Cointerior mean?
Co-interior angles lie between two lines and on the same side of a transversal. In each diagram the two marked angles are called co-interior angles. If the two lines are parallel, then co-interior angles add to give 180o and so are supplementary.
What is the formula N 2 180?
The formula for the sum of the angles of a polygon with n sides is (n – 2)*180°. This is derived from the measure of degrees of a triangle. Recall that by the triangle angle sum theorem that the sum of the angles in a triangle is 180°.
What is the formula N 2 180 N?
What is the alternate interior angle of ∠ 3?
Since lines m and n are parallel, ∠3=120°. Since ∠1 and 120° form a straight angle, ∠1=180°-120°=60°. Similarly, ∠3 and ∠4 form a straight angle so, ∠4=60°. Alternate interior angles can be used to show similarity for two triangles….Alternate interior angles.
| ∠A≅∠E, ∠B≅∠D | congruent alternate interior angles |
|---|---|
| △ABC~△EDC | AA similarity postulate |
What is Cointerior angle?
Co-interior angles are the interior angles and it sums up to 180 degrees. It means that the sum of two interior angles, which are on the same side of transversal is supplementary. Co-interior angles resemble like in “C” shape and both the angles are not equal to each other.
Are Cointerior angles equal?
Co-interior angles occur in between two parallel lines when they are intersected by a transversal. The two angles that occur on the same side of the transversal always add up to 180º . We can often spot co-interior angles by drawing a C shape. The two interior angles are only equal when they are both 90º.