Advertisements
Advertisements
Question
In the following figure, ABCD and AEFG are parallelograms. If ∠C = 55°, what is the measure of ∠F?
Advertisements
Solution
\[\text{ Both the parallelograms ABCD and AEFG are similar } . \]
\[ \therefore \angle C = \angle A = 55° (\text{ opposite angles of a parallelogram are equal })\]
\[ \therefore \angle A = \angle F = 55° (\text{ opposite angles of a parallelogram are equal })\]
APPEARS IN
RELATED QUESTIONS
Which of the following statement is true for a rectangle?
It has two pairs of equal sides.
Which of the following statement is true for a rectangle?
Its diagonals are equal.
Which of the following statement are true for a square?
It has all its sides of equal length.
Fill in the blank in the following, so as to make the statement true:
A rectangle is a parallelogram in which .....
Find the length of the diagonal of a rectangle whose sides are 12 cm and 5 cm.
State with Reason Whether the Following Statement is ‘True’ Or ‘False’.
Every rectangle is a parallelogram.
If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.
If the diagonals of a parallelogram are of equal lengths, the parallelogram is a rectangle. Prove it.
If diagonals of a quadrilateral are equal, it must be a rectangle.
A rectangular MORE is shown below:
Answer the following questions by giving appropriate reason.
- Is RE = OM?
- Is ∠MYO = ∠RXE?
- Is ∠MOY = ∠REX?
- Is ΔMYO ≅ ΔRXE?
- Is MY = RX?
