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Opposite Vertical Angles

In the adjoin...

Question

In the adjoining figure, $A C$ and $B D$ are two lines intersecting at O.
Which of the following are correct?

∠ 1

= m

∠ 2

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∠ 1

= m

∠ 3

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∠ 2

= m

∠ 3

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∠ 2

= m

∠ 4

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Solution

The correct option is D m $∠ 2$ = m $∠ 4$
The given figure is,
$Vertical Angles Theorem$ states that vertical angles are always congruent (equal in measure).

Hence, m $∠ 1$ = m $∠ 3$ and m $∠ 2$ = m $∠ 4$

So, options (b.) and (d.) are correct.

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Similar questions

A C

B D

O

In the adjoining figure,ABCD is a trapezium in which AB||DC and its diagonals AC and BD intersect at O.

Prove that $a r (△ A O D) = a r (△ B O C)$ .

B D

C D

∠ A B C

∠ A C E

In the adjoining figure,the diagonals AC and BD of a quadrilateral ABCD intersect at O.If BO=OD,prove that $a r (△ A B C) = a r (△ A D C)$ .

| |^{g m}

= \frac{1}{2}

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