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kifflom [539]
3 years ago
10

Someone find x for me lol

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Hi there!

\large\boxed{x = 60^o}

We know:

∠AGB ≅ ∠DGC because they are vertical angles. They both are 90°.

∠AGE ≅ FGC because they are vertical angles, equal 30°.

∠BGF ≅ ∠DGE are vertical angles, both equal x.

All angles sum up to 360°, so:

360° = 90° + 90° + 30° + 30° + x + x

Simplify:

360° = 240° + 2x

Subtract:

120°  = 2x

x = 60°

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