Alternate Interior Angle

Alternate Interior Angle Alternate interior angles are angles formed inside the pair of parallel or non parallel lines. Alternate interior angles are formed inside the two parallel lines and on the opposite sides of the transversals. Consider the following diagram. Properties of Alternate Interior Angles L1 and L2 are congruent La and Lb are congruent When we add the angles on the same side of the interior angles, we get 180째 So, L1 + Lb = 180째 L2 + La = 180째 Know More About Graphing Linear Equations Worksheet

Sum of the angles formed inside the same parallel lines on either side of the transversal is 180° That is, L1 + La = 180° L2 + Lb = 180° Alternate interior angles formed in non - parallel lines has no specific properties. Example Probem 1 Find the value of angle a and b in the figure given below. Solution: As 76° and b are alternate interior angles, they are congruent. So, b = 76° As 104° and a are alternate interior angles, they are congruent. So, a = 104°

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Definition of Alternate Interior Angles Alternate interior angles are angles formed inside the pair of parallel or non parallel lines. Alternate interior angles are formed inside the two parallel lines and on the opposite sides of the transversals. Properties of Alternate Interior Angles L1 and L2 are congruent La and Lb are congruent When we add the angles on the same side of the interior angles, we get 180째 So, L1 + Lb = 180째 L2 + La = 180째 Sum of the angles formed inside the same parallel lines on either side of the transversal is 180째

That is, L1 + La = 180째 L2 + Lb = 180째 Alternate interior angles formed in non - parallel lines has no specific properties. Alternate Interior Angles are Congruent If a transversal cuts a pair of parallel lines, then the alternate interior angles are congruent. Given : The parallel lines are "l" and "m" and line 't' is the transversal. Alternate Interior Angles Examples Below are some examples based on alternate interior angles Example Probem 1 Find the value of angle a and b in the figure given below.