Find the lettered angles.
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Answers
Answer:
c= 90°
d= 90°
e= 45°
f= 45°
y= 35°
z= 110°
a= 35°
Step-by-step explanation:
The length of the line connecting the bottom left corner ( the side with 35° and a) and the top right corner (the side with y and f) is divided equally / bisected by the line drawn to the above line from the bottom right corner ( the side with angle e)
That means that the line connecting the bottom left corner ( the side with 35° and a) and the top right corner (the side with y and f) is perpendicularly bisected
That makes the angles c and d 90° each (180°/2)
angle e and angle f are equal (the triangle with the angles d e and f is an isosceles triangle)
then angles e and f are 45°{ that is (180°- 90°)/2}
the angle y = 35° (the triangle with angle 35°, y and z is an isosceles triangle)
z= 180° - (35° + y)
= 180° - (35° + 35°)
= 180° - 70° = 110°
a = 35° (angle y and a are equal because the top side and bottom side are equal, which means that angle a and angle y are alternate angles)
Hope the explanation is clear