Question

a transversal intersects a pair of parallel lines ab and cd at p and q respectively. if the bisectors pm and qm of the angles apq and cqp meet at m what is angle pmq
PLEASE GIVE EXPLANATION IN DETAIL

Answer 1

Step-by-step explanation:

The transversal AD intersects the two lines PQ and RS at points B and C respectively. BE is the bisector of ∠ABQ and CF is the bisector of ∠BCS.

As, BE is the bisector of ∠ABQ, then,

∠ABE=

2

1

∠ABQ

In the same way,

∠BCF=

2

1

∠BCS

Since BE and CF are parallel and AD is the transversal, therefore, by corresponding angle axiom,

∠ABE=∠BCF

2

1

∠ABQ=

2

1

∠BCS

∠ABQ=∠BCS

Therefore, by the converse of corresponding angle axiom,

PQ∥RS.

Answer 2

It will be verified by theorem 11.1 .

photosynthesisis is the process of taking green pigment from leaf.