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# The angles| Geometry

Angle: An angle is a figure formed by two rays with a common end point. The common end point is called the vertex of the angle and the rays are called sides of the angle

Acute angle: An acute angle is an angle whose measure is greater than 00, but less than 900.

Right angle: A right angle is an angle whose measure is 900. If two perpendicular lines intersect each other, at the point of intersection form right angles.

Obtuse angle: An obtuse angle is an angle whose measure is greater than 900, but less than 1800.

Straight angle: A straight is a angle whose measure is exactly 1800. If two opposite rays intersect each other, at the point of intersection form straight angles.

Reflex angle: A reflex angle is an angle whose measure is greater than 1800, but less than 3600.

Complementary angle: Two angles are called complementary angles if the sum of their measure is 900.

## If two angle angles are complementary then every angle is complementary to each other.

Supplementary angle: Two angles are called supplementary angles if the sum of their measure is 1800. If two angle angles are supplementary then every angle is supplementary to each other.

Vertical angles: Non adjacent angles formed by two intersecting lines are called vertical angles. Two vertical angles are always congruent. In the figure ∠A and ∠B are a pair of vertical angles as are ∠C and ∠D.

Adjacent angles: Angles that are placed side by side are called adjacent angles. Two angles are called adjacent angles, if, and only if, they have a common vertex and a common side lying between them.

Alternate interior angles: If two lines in the same are cut by a transversal, the non adjacent angles on opposite sides of the transversal and on the interior of the two lines are called alternate angles. In the figure ∠3 and ∠6 are a pair of alternate angles as are ∠4 and ∠5

Corresponding angles: If two lines in the same are cut by a transversal, the angles on the same side of the transversal and in corresponding positions with respect to the two lines are called corresponding angles. In the figure ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7 and ∠4 and ∠8 are pair of corresponding angles.

## If two triangles have the three sides of the one equal to the three sides of the other, each to each, then they are equal in all respects.

If two triangles have the three sides of the one equal to the three sides ...