find value of x and y in figure 4
Answers
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°
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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.