The given figure has 4 angles or vertices, so it must be a quadrilateral.
In a quadrilateral, the sum of interior angles is equal to 360°.
Therefore we can say that,
plugin the given values into the equation and solve for x,
x + x + 2x + 2x = 360°
6x = 360°
x = 360° / 6
x = 60°
Hence the angle measurement are as follows,
∠U = ∠S = x = 60°
∠E = ∠D = 2x = 2(60°) = 120°
* as always please double check my computations for errors or carelessness.
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Answers & Comments
The given figure has 4 angles or vertices, so it must be a quadrilateral.
In a quadrilateral, the sum of interior angles is equal to 360°.
Therefore we can say that,
∠U + ∠S + ∠E + ∠D = 360°
plugin the given values into the equation and solve for x,
x + x + 2x + 2x = 360°
6x = 360°
x = 360° / 6
x = 60°
Hence the angle measurement are as follows,
∠U = ∠S = x = 60°
∠E = ∠D = 2x = 2(60°) = 120°
* as always please double check my computations for errors or carelessness.
≧◠‿◠≦✌
✓✓✓ Press that brainliest button if this was helpful. ✓✓✓
• • • Follow for more math solutions and fun facts! • • •