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Let its biggest angle be x:-

If: 0.5x+0.5x+x+x = 360 degrees

Then: 3x = 360 => x = 360/3 => x = 120 degrees

Therefore inside angles are: 60+60+120+120 = 360 degrees

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Q: What are the inside angles of a parallelogram when its smallest angle is half the size of its biggest angle showing work?
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