toqueerhuusain2103 toqueerhuusain2103
  • 23-08-2020
  • Mathematics
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Work out the angles marked x in each diagram you must show your working

Work out the angles marked x in each diagram you must show your working class=

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Stephen46
Stephen46 Stephen46
  • 23-08-2020

Answer:

x = 125°

Step-by-step explanation:

Since ∆ ABC is a triangle the sum of it's angles add up to 180°

In order to find x we must first find [tex]\angle[/tex] AED

Let [tex]\angle[/tex] AED = E

To find [tex]\angle[/tex] AED add up all the angles in the triangle and equate it to 180°

That's

35 + 90 + E = 180

125 + E = 180

E = 180 - 125

E = 55°

E and x lie on a straight line

So we have

x + 55 = 180°

x = 180 - 55

x = 125°

Hope this helps you

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