The length of the third side of the quadrilateral is 7.5 cm.
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Quadrilateral</h3>
A quadrilateral is a polygon that has four sides and four angles. The sum of interior angles in a quadrilateral is 360°. Types of quadrilateral are square, rectangle, rhombus, kite and so on.
Let x represent the length of the third side, hence:
x = 5 + (5 * sin(20)) + (5 * sin(10)) = 7.5 cm
The length of the third side of the quadrilateral is 7.5 cm.
Find out more on Quadrilateral at: brainly.com/question/16691874
Answer:
71.6056
Step-by-step explanation:
c² = a² + b² - 2abcosC°
29² = 30² + 15² - 2(30)(15)cosC°
841 = 900 + 225 - 900cosC°
-59 = 225 - 900cosC°
-284 = -900cosC°
71/225 = cosC°
cos⁻¹(71/225) = C°
C° = 71.6056