Question

Find the measures of all angles formed by line a parallel to line b with transversal m, if: the sum of two angles is 68°

Answer 1

Answer with Explanation

If two lines are parallel a and b a line m cross in this case.

Corresponding angles are congruent if line a and lines b are parallel. All angles who have the same position with regards to the parallel lines and the transversal are called corresponding pairs. Two angles that are opposite each other as D and B in the figure above is called vertical angles.

Vertical angles are always congruent. Angles that are on the opposite sides of the transversal are called alternate angles like <H,<B.

So <G=,<E is opposite angle must same and < F= ,<H is the same sum of two angles are 68. If it is divided by 2 68/2 =34 one angle is of 34 sums of angle of straight angle is 180 as we know so 180 – 34 = 146. Therefore, angle answer <G = <E = <C = <A = 146 and <F = <H = <B = <D = 34.