Question

Following is the performance of a cricket team in
the matches it played.
Year
Wing
Loses
8
2
Last year
2
4
This year​

Answer 1

Answer:

5 th Question: AX and CY are respectively the bisectors of opposite angles A and C of a parallelogram ABCD . Show that AX is parallel to CY

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Answer

Given,

ABCD is a Parallelogram

AX is the bisector of ∠A

CY is the bisector of ∠C

To Prove

AX ║ CY

Proof

ABCD is a parallelogram

∠A = ∠C (Opp. angles of a paralleogram are equal)

\frac{1}{2}

2

1

∠A = \frac{1}{2}

2

1

∠C (Halves of equals are equal)

∴ ∠1 = ∠2

(AX and CY bisects A and C)

AB ║CD and CY is the transversal (Parallel lines of a parallelogram)

∴ ∠2 = ∠3

But ∠1 = ∠2

⇒ ∠1 = ∠3

∴ AX ║ CY

(Corresponding angles 1 and 3 are equal, therfore the lines are parallel)

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Step-by-step explanation:

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