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3 years ago

In the diagram below, the lines are parallel. m∠BCD = 52° and m∠EAB = 73°. What is the measure of ∠ABC?

Mathematics

2 answers:

RoseWind [281]3 years ago

7 0

Answer:

Step-by-step explanation:

∠EAB = 73

∠B<u>CD = 52 </u>

125

∠ABC = 360 - 125

= 235°

nikdorinn [45]3 years ago

4 0

Answer:

235°

Step-by-step explanation:

<h3>Given</h3>

AB ║ CD
m∠BCD = 52°
m∠EAB = 73°

m∠ABC = ?

<h3>Solution</h3>

Imagine line BF parallel to both AB and CD

m∠ABC = m∠ABF + m∠CBF
m∠ABC = (180° - m∠EAB) + (180° - m∠BCD)
m∠ABC = (180° - 73°) + (180° - 52°) = 107° + 128° = 235°

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