Advertisements
Advertisements
Question
In parallelogram ABCD, find ∠B, ∠C and ∠D.
Advertisements
Solution
Since, the sum of any two consecutive angles of a parallelogram is 180°.
∴ ∠A + ∠D = 180°
`\implies` ∠D = 180° – 80° = 100°
We know that opposite angles of a parallelogram are equal.
So, ∠B = ∠D and ∠A = ∠C
∴ ∠B = 100° and ∠C = 80°
Hence, ∠B = 100°, ∠C = 80°, ∠D = 100°
APPEARS IN
RELATED QUESTIONS
In the trapezium ABCD, the measure of ∠D is ______.
If two adjacent angles of a parallelogram are in the ratio 2 : 3, then the measure of angles are ______.
Two adjacent angles of a parallelogram are in the ratio 1:5. Then all the angles of the parallelogram are ______.
Adjacent angles of a parallelogram are ______.
Two adjacent angles of a parallelogram are in the ratio 1:3. Find its angles.
The adjacent angles of a parallelogram are (2x – 4)° and (3x – 1)°. Find the measures of all angles of the parallelogram.
Draw a circle of radius 3 cm and draw its diameter and label it as AC. Construct its perpendicular bisector and let it intersect the circle at B and D. What type of quadrilateral is ABCD? Justify your answer.
