MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Deducing Properties of Parallelogram

In the given ...

Question

In the given figure, ABCD is a rectangle in which diagonal AC is produced to E. If ∠ECD = 146°, find ∠AOB.

Open in App

Solution

ABCD is a rectangle

With diagonal AC produced to point E.

We have

(Linear pair)

We know that the diagonals of a parallelogram bisect each other.

Thus

Also, angles opposite to equal sides are equal.

Therefore,

By angle sum property of a traingle

Also, and are vertically opposite angles.

Therefore,

Hence, the required measure for is .

Suggest Corrections

thumbs-up

0

Similar questions

In the figure, ABCD is a rectangle in which diagonal AC is produced to E. If $∠ E C D = 146^{\circ}$ , find $∠ A O B$ .

Q. In figure given,

A B C D

is a rectangle and diagonals intersect at

O

A C

E

∠ E C D = 146^{o}

, Find the angles of the

△ A O B

.

Q. In the given figure, the diagonals of rectangle

A B C D

O

∠ A O B = 64^{o}

∠ O C B

.

Q. In the given figure,

ABCD

is a rhombus in which diagonals

AC

BD

O

∠ AOB

Q. In the adjoining figure,

A B C D

is a rectangle whose diagonals

A C

B D

O

∠ A O B = 110^{o}

, find the measure of:

∠ A O D

∠ B O C

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Applications of Congruency

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Deducing Properties of Parallelogram

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon