For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Is there any other angle that also measures 65°?Ħ and 8 are vertical angles and are thus congruent which means angle 8 is also 65°.Ħ and 2 are corresponding angles and are thus congruent which means angle 2 is 65°.Ħ and 4 are alternate exterior angles and thus congruent which means angle 4 is 65°. Supplementary angles are those angles that sum up to 180 degrees. The picture above shows two parallel lines with a transversal. 1 + 8.Īll angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent. 3 + 7, 4 + 8 and 2 + 6.Īngles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles.Īngles that are on the opposite sides of the transversal are called alternate angles e.g. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. Angles 1 and 5 constitutes one of the pairs. The eight angles will together form four pairs of corresponding angles. When a transversal intersects with two parallel lines eight angles are produced. If we have two parallel lines and have a third line that crosses them as in the ficture below - the crossing line is called a transversal Two angles that sum to a complete angle (1 turn, 360°, or 2 radians) are called explementary angles or conjugate angles. Sum of two explementary angles is a complete angle. Two angles are said to be supplementary when the sum of the two angles is 180°. In Euclidean geometry, any sum of two angles in a triangle is supplementary to the third, because the sum of internal angles of a triangle is a straight angle. Two angles are said to be complementary when the sum of the two angles is 90°. The size of the angle xzy in the picture above is the sum of the angles A and B. Adjacent angles share a common ray and do not overlap. Vertical angles are always congruent, which means that they are equal.Īdjacent angles are angles that come out of the same vertex. Another word for opposite angles are vertical angles. When two lines intersect they form two pairs of opposite angles, A + C and B + D.
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