Respuesta :

calculista

we know that

When two parallel lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Corresponding angles are equals

in this problem we have

m∠6=m∠2 ------> by corresponding angles

so

m∠6=[tex]60\°[/tex]

therefore

the answer is

m∠6=[tex]60\°[/tex]

The angles formed by parallel lines and a common transversal have certain relationships including equal corresponding angles.

m∠6 is 60°

Reason:

The given parameters are;

[tex]\overline{AB}[/tex] ║ [tex]\overline{CD}[/tex]

m∠2 = 60°

Require:

m∠6

Solution:

∠2 and ∠6 are corresponding angles, given that line AB is parallel to line

CD, by corresponding angles theorem, we have;

  • ∠2 ≅ ∠6 corresponding angles theorem
  • m∠2 = m∠6 by definition of congruency

Therefore;

m∠2 = 60° = m∠6

  • m∠6 = 60° by symmetric property

Learn more here:

https://brainly.com/question/17307144

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