PersonPerson13260
10.12.2019 •
Mathematics
Find the value of x. round to the nearest tenth.
55.6
6.7
55.8
6.5
Solved
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Ответ:
cos20=19/x
x=19/cos20
Ответ:
62° and 54°
Step-by-step explanation:
The exterior angle of a triangle is equal to the 2 opposite interior angles.
116° is an exterior angle of the triangle, thus
2x + 4 + 3x - 13 = 116, that is
5x - 9 = 116 ( add 9 to both sides )
5x = 125 ( divide both sides by 5 )
x = 25
Thus
∠ A = 3x - 13 = 3(25) - 13 = 75 - 13 = 62°
∠ B = 2x + 4 = 2(25) + 4 = 50 + 4 = 54°