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4. In the figure, the quadrilateral has been split into two triangles.
Show that: a + b + c = 180°
Continue the proof to show that angles in a quadrilateral add
up to 360°
Answers
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Answer:
Hey Cutie !
∠2 + ∠4 + ∠B = 180° (Angle sum property of triangle)
∠1 + ∠3 + ∠D = 180° (Angle sum property of triangle)
Solved examples of angle sum property of a quadrilateral
Solution:
Using angle sum property of quadrilateral, we get.
(3x + 2)°+ (x – 3)° + (2x + 1)° + 2(2x + 5)°= 360°
⇒ 3x + 2 + x - 3 + 2x + 1 + 4x + 10 = 360°
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Step-by-step explanation:
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