Question

I cant figure out how to do this please help

Answer 1

9514 1404 393

Answer:

1. ∠BEC, ∠CED
2. 83°
3. 139°
4. 90°

Explanation:

When it comes to angles in a plane, the whole is the sum of the parts.

The little square in the corner of angle BED tells you that is a right angle, so has a measure of 90°. (This is the answer to part 4.) It also tells you that any ray between EB and ED will divide this angle into two complementary angles--angles that have a sum of 90°. There is only one such ray, EC, and it divides angle BED into angles BEC and CED.

1. Angles BEC and CED are adjacent complementary angles.

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2. The parts of angle AEC are angles AEB and BEC. Angle AEC is the sum of those parts:

∠AEC = 49° +34° = 83°

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3. Angle AED is the sum of angle AEB and right angle BED:

∠AED = 49° +90° = 139°

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4. As we saw above, the marking on the figure tells you ...

∠BED = 90°