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4 years ago

∠1 and ∠2 are supplementary.

1 answer:

5 0

Supplementary means the 2 angles add up to 180 so...

124+(2x+4)=180

124+2x+4=180

124+2x+4-4=180-4

124+2x=176

124-124+2x=176-124

2x=52

2x/2=52/2

x=26
plug in and check

124+2x+4=180

124+2 (26)+4=180

124+52+4=180

176+4=180

180=180

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4 years ago

A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

frutty [35]

Answer:

The length of the wire is 76.19 m.

Step-by-step explanation:

It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.

It means base of the right angled triangle is 40 m.

The wire makes an angle of 58deg 20min with the ground.

1 degree = 60 min

Using this conversion convert the given angle in degree.

$58^{\circ}20'=58^{\circ}\frac{20}{60}^{\circ}=58\frac{1}{3}^{\circ}=\frac{175}{3}^{\circ}$

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$\cos \theta=\frac{adjacent}{hypotenuse}$

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3 years ago

∠1 ​ and ∠2 are supplementary.

∠1 and ∠2 are supplementary.