Consecutive Interior Angles вђ Definition Theorem With Examples

Consecutive Interior Angles Definition Theorem Examples But 125° 60° = 185°, which means that 125° and 60° are not supplementary. thus, as per the consecutive interior angles theorem, the given lines are not parallel. example 2: use the consecutive interior angles theorem to find the value of angle 'x' if line 1 and line 2 are parallel. Let us take some example to understand the concept better, find the value of x, y and z in the given figure. solution: according to the theorem of consecutive interior angles if the two lines intersected by the transversal are parallel, the consecutive interior angles are supplementary. thus, ∠50° x = 180°.

Consecutive Interior Angles вђ Definition Theorem With Examples Consecutive interior angles. when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example d and f are consecutive interior angles. also c and e are consecutive interior angles. to help you remember: the. Converse consecutive interior angle theorem proof. 1. examine the figure above. we see two lines crossed by a transversal, but we’re not sure if the lines are parallel. however, we know that ∠a = ∠e, ∠b = ∠f, ∠c = ∠g, and ∠d = ∠h. note the two pairs of consecutive interior angles: ∠c & ∠e, and ∠d & ∠f. The consecutive interior angle theorem states that if a transversal line intersects a pair of parallel lines, then the sum of the consecutive interior angles is equal to 180 degrees. using the. 16x 12 = 16 (8) 12 = 140°. thus, value of both consecutive interior angles 40° and 140°. example 2: the value of ∠3 is 85° and ∠6 is 110°. now, check the ‘n’ and ‘m’ lines are parallel. solution: if the angles 110° and 85° in the above figure are supplementary, then the lines ‘n’ and ‘m’ are parallel.