2 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

Gelneren [198K]2 years ago

6 0

Answer: What you picked

Step-by-step explanation:

I can't see the dropdown menus, but those answers make sense.

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The proof, with a missing reason, proves that the measure of angle ECB is 54°.

aniked [119]

Answer:

Midsegment of a Triangle Theorem

Step-by-step explanation:

$In\: \triangle ADE\\m\angle A + m\angle D + m\angle AED = 180°\\\therefore 90°+36°+m\angle AED= 180°\\\therefore 126° +m\angle AED = 180°\\\therefore m\angle AED = 180°-126°\\\therefore m\angle AED = 54°\\$

$In\: \triangle ADE,$ D and E are mid points of sides AB and AC respectively.

Therefore, DE || BC

Hence, by Midsegment of a Triangle Theorem

$m\angle ACB = m\angle AED =54°(corresponding\:\angle 's) \\\therefore m\angle ECB = m\angle AED =54°(\because A - E - C)$

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