Answer :

shownubear1992

Answer:

The measure of the angle represented by (5x-2)° is 58°

Step-by-step explanation:

(5x - 2)° equals 58 because ∠58 and ∠(5x -2) are corresponding angles. This is because corresponding angles are created in matching or corresponding corners of two parallel lines that has been intersected by a transversal. So because line l is parallel to line m and a transversal has intersected these parallel lines would make ∠58° and ∠(5x - 2)° equal.

[tex]5x-2=58\\+2=+2\\5x=60[/tex]add 2 on both sides to cancel it out

[tex]\frac{5x}{5} =\frac{60}{5}[/tex]  divide 5 on both sides to cancel it out

[tex]x=12[/tex]

Check our answer

5 × 12 = 60

60 - 2 = 58

semsee45

Answer:

(5x - 2)° = 58°

Step-by-step explanation:

The given diagram shows a transversal intersecting two parallel lines, l and m.

When a transversal intersects two parallel lines, the pairs of angles formed that are in the same relative position are called corresponding angles. According to the Corresponding Angles Theorem, these angles are always congruent.

Therefore, as the angles labelled 58° and (5x - 2)° in the given diagram are in the same relative position, the measure of the angle represented by (5x - 2)° is:

[tex]\Large\text{$(5x - 2)^{\circ} = \boxed{58^{\circ}}$}[/tex]