the four angles of a quadrilateral are in the ratio 2 :3: 5: 8 find the angles.
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Step-by-step explanation:
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Answer:
40°, 60°, 100°, 160°
Step-by-step explanation:
Let the measure of the angles of the given quadrilateral be (2x)° , (3x)° , (5x)° and (8x)°.
We know that the sum of the angles of a quadrilateral is 360°.
∴ 2x + 3x + 5x + 8x = 360
⇒18x = 360
⇒ x = 20.
So, the measure of angles of the given quadrilateral are
(2×20)° = 40°
(3×20)° = 60°
( 5×20)° = 100°
(8×20)° = 160°
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