Math, asked by Nusaiba124, 7 months ago

find value of x and y in figure 4​

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Answered by shreya4183
8

Answer:

x = 80°

y= 75°

Step-by-step explanation:

to find the value of x

we know that

exterior angle = sum of two interior angles

so

x= 50 + 30

x = 80°

to find the value of y

Firstly consider the triangle of 45°

let the unknown angle be a

45 + x + a = 180

45 + 80 + a = 180

a = 180 - 125

a = 55°

Now

y= 180 -(50+55) ( straight line)

y = 180 - 105

y = 75°

Please mark it brainliest

Answered by samuelhollands
2

Answer: x = 80 degrees     y = 95 degrees

Step-by-step explanation: x has to equal 80 degrees because in the traingle next to it the degrees we have add up to 80 degrees, a triangle must have its 3 angles add up to 180, so the missing angle in that one is 100, this means that x must equal 80 because the angle of a flat line is also 180 degrees.

So if x = 80 degrees, and a triangle must have 180 degrees worth of angles, the one angle missing in the triangle with x in it must be 55 degrees, because 80 plus 45 is 125, 180 - 125 is 55, this means y = 95, because if a flat lines angle adds up to 180 degrees, and on the flat line that y is on, we have found 105 degrees of the angles (50 plus 55), then the remaining number we need to get 180 is 95.

Hope this helps.

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