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In a rectangle ABCD the diagonals intersect each other at point O, E is a midpoint of the side AB , and m∠BAC = 50°. Find the measure of angle EOD.

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Answer:

130°

Step-by-step explanation:

In the picture attached, the rectangle can be seen.

We know that m∠BAC = 50°, then m∠ADB is also 50°. m∠AOE must be 180° - 90° - 50° =  40°, and m∠OAD = 90° - 50° = 40°, then m∠DOA = 180° - 40° - 50° = 90°. Finally m∠EOD = m∠DOA + m∠AOE =  90° + 40° =  130°

Ver imagen jbiain

Answer:

140 degrees

Step-by-step explanation:

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