In a quadrilateral the measures of its angles x + 6, 2x + 3, 4x, 5x - 9. Find x and find the measures of each angles
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Answer:
x= 30
angles are 36°,63°,120° and141°
Step-by-step explanation:
the sum of total angles of a quadrilateral = 360
(x+6)+(2x+3)+4x+(5x-9) =360
12x + 0 = 360
12x = 360
x = 360/12
x = 30
the four angles are
x+6 = 30+6 = 36°
2x+3 = 2×30+3 =60 + 3 = 63°
4x = 4 × 30 = 120°
5x-9 = 5×30-9 = 150 - 9 = 141°
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