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

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

the f

last graph i believe

step-by-step explanation:

worked it out i believe