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2 years ago

Help me work this out please

Mathematics

1 answer:

creativ13 [48]2 years ago

6 0

Answer:

∠DEF = 250°

Step-by-step explanation:

1. This shape is a hexagon (6 sides), so the interior angles should all add to 720°. Also worth noting: the problem says the <em>obtuse</em> angle DEF; this means it's the angle INSIDE the shape, not outside.

2. Add all the known angles, then subtract from the total degrees:

50 + 96 + 144 + 42 = 332

720 - 332 = 338

3. Because BC is parallel to ED, we can subtract 180 - 42 for the value of ∠EDC, which is 138°.

4. Add all the known values and subtract from 720 for the value of ∠DEF:

50 + 96 + 144 + 42 + 138 = 470

720 - 470 = 250°

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