sk8ordiepest sk8ordiepest
  • 03-10-2020
  • Mathematics
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In the diagram below, the lines are parallel. m∠BCD = 52° and m∠EAB = 73°. What is the measure of ∠ABC?

In the diagram below the lines are parallel mBCD 52 and mEAB 73 What is the measure of ABC class=

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mhanifa
mhanifa mhanifa
  • 03-10-2020

Answer:

  • 235°

Step-by-step explanation:

Given

  • AB ║ CD
  • m∠BCD = 52°  
  • m∠EAB = 73°

To find

  • m∠ABC = ?

Solution

Imagine line BF parallel  to both AB and CD

Then

  • m∠ABC = m∠ABF + m∠CBF
  • m∠ABC =  (180° - m∠EAB) + (180° - m∠BCD)
  • m∠ABC = (180° - 73°) + (180° - 52°) = 107° + 128° = 235°
Answer Link
ricchad
ricchad ricchad
  • 03-10-2020

Answer:

235°

Step-by-step explanation:

∠EAB = 73

∠BCD = 52    

          125

∠ABC = 360 - 125

          = 235°

Ver imagen ricchad
Answer Link

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