in the figure find X and Y
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angle ACD = 70°
angle ADC = 90°
therefore, by angle sum property in triangle CAD
x + angle ACD + angle ADC = 180°
x + 70° + 90° = 180°
x =180° -160°
x = 20°
angle BAD = 30°
angle ADB = 90°
therefore, by angle sum property in triangle BAD
y + angle BAD + angle ADB = 180°
y + 30° + 90° = 180°
y =180° -120°
y = 60°
angle ADC = 90°
therefore, by angle sum property in triangle CAD
x + angle ACD + angle ADC = 180°
x + 70° + 90° = 180°
x =180° -160°
x = 20°
angle BAD = 30°
angle ADB = 90°
therefore, by angle sum property in triangle BAD
y + angle BAD + angle ADB = 180°
y + 30° + 90° = 180°
y =180° -120°
y = 60°
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