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QUESTION IMAGE

find the lettered angles for the following (with three geometric diagra…

Question

find the lettered angles for the following (with three geometric diagrams: first with 119° at e, second with 70° at b and 40° at d, third with 52° at c)

Explanation:

Response
First Problem (Top Diagram: Angle at E, Triangle EBA)

Step1: Identify Supplementary Angles

The angle at E (∠CEF) is \( 119^\circ \), so its supplementary angle \( \angle BEC = 180^\circ - 119^\circ \)
\( \angle BEC = 61^\circ \)

Step2: Assume Triangle EBA is Isosceles or Use Alternate Angles (If EB ||... Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait, Wait…

Answer:

Step1: Identify Supplementary Angles

The angle at E (∠CEF) is \( 119^\circ \), so its supplementary angle \( \angle BEC = 180^\circ - 119^\circ \)
\( \angle BEC = 61^\circ \)

Step2: Assume Triangle EBA is Isosceles or Use Alternate Angles (If EB ||... 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