Respuesta :

[tex] \quad \quad \huge{ \colorbox{black}{ \colorbox{white}{ \green{\fbox{ᴀɴsweʀ}}}}}[/tex]

ᴛʜᴇ ʀᴇǫᴜɪʀᴇᴅ ᴍᴇᴀsᴜʀᴇs ᴀʀᴇ :

[tex] \sf \rightarrow \angle1 = 144 \degree[/tex]

[tex] \sf\rightarrow \angle2 = 18 \degree[/tex]

[tex] \sf\rightarrow \angle3 = 18 \degree[/tex]

[tex] \sf\rightarrow \angle4 = 144 \degree[/tex]

[tex] \sf\rightarrow \angle5 = 18 \degree[/tex]

[tex]ᴀɴsᴡᴇʀᴇᴅ \: \: ʙʏ \: \: ᴄᴀɴᴅʏ \: \: ᴀᴜɴᴛʏ \: \sf{ ⌐■-■}[/tex]

Applying the properties of rhombus, the measure of the numbered angles are:

m∠1 = 144°

m∠2 = 18°

m∠3 = 18°

m∠4 = 144°

m∠5 = 18°

What are the Properties of the Angles of a Rhombus?

  • The adjacent angles in a rhombus are supplementary to each other.
  • Each angle in a rhombus is bisected into equal halves.
  • Opposite angles found in a rhombus are congruent to each other.

Apply the properties of the angles of a rhombus, the measure of the numbered angles are:

m∠5 = 18°

m∠1 = 180 - 2(18) = 144°

m∠2 = 18°

m∠3 = 18°

m∠4 = m∠1 = 144°

Learn more about rhombus on:

https://brainly.com/question/20627264

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