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Cloud [144]
3 years ago
10

In triangle abc, the angle c is six times as large as angle

Mathematics
1 answer:
mote1985 [20]3 years ago
3 0
The interior angles of a triangle add up to 180 degrees

a = 1st angle, b = 2nd angle, c = 3rd angle

c = 6a
b = a + 60
a + b + c = 180

a + (a + 60) + (6a) = 180
8a + 60 = 180
8a = 180 - 60
8a = 120
a = 120/8
a = 15 <=== here is one angle

b = a + 60
b = 15 + 60
b = 75 <=== and another one

c = 6a
c = 6(15)
c = 90 <=== and the last angle

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Explanation:

<em><u>Switch sides of an equation.</u></em>

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<em><u>multiply by 4 both sides of an equation.</u></em>

<em><u>4*3/4h=60*4</u></em>

<em><u>simplify.</u></em>

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<em><u>divide by 3 both sides of an equation.</u></em>

<em><u>3h/3=240/3</u></em>

<em><u>simplify.</u></em>

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<em><u>240/80=3</u></em>

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<em><u>Hope this helps!</u></em>

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Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

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Required

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