Answer:
x = 80 degrees
y = 25 degrees
Explanation:
First find angle BCA.
We know a line is 180 degrees, and angle BCD is 130. So 180-130 = 50 degrees for angle BCA.
Since it is isosceles (two lines on both sides of triangle ABC) this means the bottom two angles are the same. Now we know the two angles to find missing angle X.
50+50+ x = 180 degrees
x= 180 - 100 = 80 degrees
Next we know triangle BCD is isosceles, so angle BDC and angle CBD are the same. We know the third angle is 130 degrees.
So 180 - 130 = 50 degrees split between two angles that are the same. So one angle is 50/2 = 25 degrees.
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