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Sagot :
The measures of the angles are x = 40, x = 110 and y = 70
What are angles?
Angles are formed when two or more lines intersect
How to calculate the values of x, y and z?
The figure represents the given parameters
On the figure, we have the following highlights
Angle 3 and angle y are corresponding angles.
Corresponding angles are congruent
So, we have
y = Angle 3
From the figure
Angle 3 = 70
So, we have
y = 70
The angle on a straight line is 180 degrees
So, we have
x + y = 180
This gives
x + 70 = 180
Evaluate the like terms
x = 110
The triangle is an isosceles triangle.
So, we have
y = Angle 2
This means that
Angle 2 = 70
The sum of angles in a triangle is 180
So, we have
z + y + Angle 2 = 180
This gives
z + 70 + 70 = 180
Evaluate
z = 40
Hence, the measures of the angles are x = 40, x = 110 and y = 70
Read more about angles at
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