Question

3. In Figure, AB and CD are parallel lines and transversal EF intersects them at P and Q respectively. If APR = 25°, RQC = 30° and CQF = 65°, then ​

Answer 1

Answer:

x=25°

y=70°

Step-by-step explanation:

65°+30°+a=180° (linear pair)

95°+a=180°

a=180°-95°

a=85°

85°+25°+y=180° (co-linear pair)

110°+y=180°

y=180°-110°

y=70°

70°+85°+x=180° (angle sum property of triangle)

155°+x=180°

x=180°-155°

x=25°

x=25°

y=70°