Answer:
x = 63°
y = 27°
Explanation:
RECT is a rectangle.
By the property of interior angles of a polygon,
All interior angles of a rectangle measure 90°
m(∠RTC) = 90°
m(∠RTC) = m(∠RTE) + m(∠CTE) [Angle addition postulate]
x° + 27° = 90°
x = (90 - 27)°
x = 63°
Since, opposite sides of a rectangle are parallel and equal in measure,
RE║TC and TE is a transversal line,
m∠RET = m∠CTE [Alternate interior angles]
y = 27°