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Answer:
x = 55 degrees
y = 125 degrees
z = 125 degrees
Step-by-step explanation:
Step 1 of 3:
We know that;
one complete circle equals 360 degrees
and semicircle equals 180 degrees.
55 degrees + z = 180 degrees --- (1)
z + x = 180 degrees --- (2)
x + y = 180 degrees --- (3)
Using equation (1);
z = 180 degrees - 55 degrees
z = 125 degrees
Step 2 of 3:
Using equation (2);
z + x = 180 degrees (since z = 125 degrees)
125 degrees + x = 180 degrees
x = 180 degrees - 125 degrees
x = 55 degrees
Step 3 of 3:
Using equation (3);
x + y = 180 degrees (since x = 55 degrees)
55 degrees + y = 180 degrees
y = 180 degrees - 55 degrees
y = 125 degrees
So the angles are;
x = 55 degrees
y = 125 degrees
z = 125 degrees
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