Advertisements
Advertisements
Question
Both the pairs of opposite angles of a quadrilateral are equal and supplementary. Find the measure of each angle.
Solution
Let ABCD be a quadrilateral.
So, ∠A = ∠C
∠B = ∠D
And ∠A + ∠C = 180°, ∠B + ∠D = 180°
Now, ∠A + ∠A = 180° ...[∠C = ∠A]
⇒ 2∠A = 180°
⇒ ∠A = 90°
Similarly, ∠B = 90°
Hence, each angle is a right angle.
APPEARS IN
RELATED QUESTIONS
In a quadrilateral, define of the following Adjacent angles .
A quadrilateral has three acute angles each measures 80°. What is the measure of the fourth angle?
In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angle of the quadrilateral.
In ΔABC, E is the mid-point of median AD such that BE produced meets AC at F. IF AC = 10.5 cm, then AF =
Use the information given in the following figure to find the value of x.
The angles A, B, C and D of a quadrilateral are in the ratio 2 : 3 : 2 : 3. Show this quadrilateral is a parallelogram.
Observe the figure below and find out their name.
Three angles of a quadrilateral are 75º, 90º and 75º. The fourth angle is ______.
Which of the following is not true for a parallelogram?
The common part between the two angles BAC and DAB in figure is ______.
