in a quad ABCD Angle A 2x+35 angle B 3x-5 Angle C x+10 Angle D 4x+20 what is the value of x​

Answers

Answer 1

Answer:

x = [tex]30^{o}[/tex]

Explanation:

The sum of the interior angles of a quadrilateral is [tex]360^{o}[/tex], so that from the given question:

<A + <B + <C + <D = [tex]360^{o}[/tex]

(2x + 35) + (3x - 5) + (x + 10) + (4x + 20) = [tex]360^{o}[/tex]

10x + 60 = [tex]360^{o}[/tex]

10x = [tex]360^{o}[/tex] - 60

     = 300

x = [tex]\frac{300}{10}[/tex]

  = 30

x = [tex]30^{o}[/tex]

So that,

<A = (2x + 35) = (2*30 + 35) = [tex]95^{o}[/tex]

<B = (3x - 5) = (3*30 - 5) = [tex]85^{o}[/tex]

<C = (x + 10) = (30 + 10) = [tex]40^{o}[/tex]

<D = (4x + 20) = (4*30 + 20) = [tex]140^{o}[/tex]

Thus,

[tex]95^{o}[/tex] + [tex]85^{o}[/tex] + [tex]40^{o}[/tex] + [tex]140^{o}[/tex] = [tex]360^{o}[/tex]


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Answers

Answer:

Health education is important because it helps empower individuals to live healthier and better their lives by improving their physical, mental, emotional and social health. Heath education increases knowledge and their well-being.

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