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 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.

146 degrees and 34 degrees

Step-by-step explanation:

Got it right in my RSM class

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

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