Question

How to do this guys im stuck on this one

Answer 1

Answer:

x = 63°

y = 27°

Step-by-step 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°