Advertisements
Advertisements
Question
Two opposite angles of a parallelogram are 100° each. Find each of the other two opposite angles.
Advertisements
Solution
Given: Two opposite angles of a parallelogram are 100° each.
∵ Adjacent angles of a parallelogram are supplementary,
∴ ∠A + ∠B = 180°
⇒ 100° + ∠B = 180°
⇒ ∠B = 180° – 100°
⇒ ∠B = 80°
Also, opposite angles of a parallelogram are equal
∴∠D = ∠B = 80°
∴∠B = ∠D = 80°
APPEARS IN
RELATED QUESTIONS
In a quadrilateral, define of the following Opposite sides .
In Fig. 16.19, ABCD is a quadrilateral.
Name a pair of opposite sides.
If the sum of the two angles of a quadrilateral is 180°. What is the sum of the remaining two angles?
In Fig. 16.20, find the measure of ∠MPN.
Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.
In the given figure : ∠b = 2a + 15 and ∠c = 3a + 5; find the values of b and c.
Write, giving reason, the name of the figure drawn alongside. Under what condition will this figure be a square.
The angles of a hexagon are (2x + 5)°, (3x - 5)°, (x + 40)°, (2x + 20)°, (2x + 25)° and (2x + 35)°. Find the value of x.
If APB and CQD are two parallel lines, then the bisectors of the angles APQ, BPQ, CQP and PQD form ______.
Measures of the two angles between hour and minute hands of a clock at 9 O’ clock are ______.
