Question

find the measures of angle a, b, c and d from the given figure

Answer 1

angle CQP=angle A= 50 ( alternate int.)

Angle A+ Angle B= 180 (linear pair)
50 + ang. B = 180

ang. B = 130

ang. B = ang. C = 130 (alternate interior angle)

Answer 2

.

Find ∠c:

∠c = 180 - 50 = 130° [Supplementary angles]

.

Find ∠a:

∠a = 180 - 130 = 50° [Interior angles of 2 parallel lines]

.

Find ∠b:

∠b = 130° [Alternate angles with ∠c]

.

Answer: ∠a = 130°, ∠b = 50° , ∠c = 130°