Respuesta :

[tex]\text{Answer: }\angle 5=31\textdegree[/tex]

Explanation:

Since we have given that

AB║CD

and

[tex]m\angle 2=31\textdegree[/tex]

Since we know that AB║CD

So, Alternate angles will be equal to each other and

[tex]\angle2=\angle 5\\\angle 1=\angle 6[/tex]

So, value of angle 2 is equal to value of angle 5 i.e.

[tex]\angle5=\angle 2=31\textdegree[/tex]

Hence ,

[tex]\angle 5=31\textdegree[/tex]

The measure of m∠5 is 31 degrees.

Given that,

  • The AB is perpendicular to CD.
  • And, the m∠2=31°.

Based on the above information, the following information should be considered:

  • The alternate angles should be equal i.e. ∠2 = ∠5 and ∠1 and ∠6.
  • So, ∠5 = ∠2 = 31 degrees.

Therefore we can conclude that the measure of m∠5 is 31 degrees.

Learn more: brainly.com/question/17581080