7. If the angles of a quadrilateral are xº, (2x +13)º,
(3x + 10), (x - 6)º, find x.
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Answer:
First angle = x = 57.16
Second angle = 2 (57.16) + 13
= 127.32
Third angle = 3 (57.16) + 10
= 181.48
Fourth angle = x - 6
= 57.16 - 6 = 51.16
Step-by-step explanation:
Sum of angles in a quadrilateral = 360°
= x + 2x + 13 + 3x + 10 + x - 6 = 360
= 6x + 17 = 360
= 6x = 343
x = 57.16
First angle = x = 57.16
Second angle = 2 (57.16) + 13
= 127.32
Third angle = 3 (57.16) + 10
= 181.48
Fourth angle = x - 6
= 57.16 - 6 = 51.16
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