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and ray Q \( T \) are bisectors of \( \angle B P Q \) and \( \angle \mathrm { PQD } \) respectively Prove that \( m \angle P T Q = 90 ^ { \circ } \) \( \mathbf { A } \) \( C Q \) Fig. 3.11 2

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Similar Questions

Q1

In figure

3.11, l i n e A B ∥ l i n e C D

and

l i n e P Q

is the transversal. Ray

P T

and ray

Q T

are bisectors of

∠ B P Q

and

∠ P Q D

respectivelyProve that

m ∠ P T Q = 90^{o}

.

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Q2

In the given Figure, line AB || line CD and line PQ is the transversal. Ray PT and ray QT are bisectors of

∠ B P Q and ∠ P Q D respectively.

Prove that m ∠ P T Q = 90^{\circ} .

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Q3

If

A P B

and

C Q D

are two parallel lines,(in the order respectively) then the bisectors of the angles

A P Q, B P Q, C Q P

and

P Q D

form:

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Q4

A transversal EF of line AB and line CD intersects the lines at point P and Q respectively. Ray PR and ray QS are parallel and bisectors

∠

BPQ and

∠

PQC respectively.

Prove that line AB || line CD.

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Q5

If APB and CQD are two parallel lines, then the bisectors of

∠ A P Q, ∠ B P Q, ∠ C Q P

and

∠ P Q D

forms

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