A triangle is a plane shape bounded by three straight sides, thus it has three internal angles. Therefore, the required values are:
i. x = [tex]40^{o}[/tex]
ii. y = [tex]120^{o}[/tex]
A plane shape is a figure bounded by straight sides. Examples are triangles, squares, rectangles, rhombus, kite, trapezium, etc. A triangle is an example of a plane shape that has three sides, thus three angles. also, the sum of angles in a given triangle is [tex]180^{o}[/tex].
Thus the required values of x and y can be determined as follows:
x + 20 + 120 = [tex]180^{o}[/tex]
x + 140 = [tex]180^{o}[/tex]
x = [tex]180^{o}[/tex] - 140
So that,
x = [tex]40^{o}[/tex]
Thus,
y = 20 + 120 (the sum of opposite angles is equal to an exterior angle.)
= [tex]120^{o}[/tex]
Therefore, x = [tex]40^{o}[/tex] and y = [tex]120^{o}[/tex]
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