Advertisements
Advertisements
Question
Consider the given parallelograms. Find the values of the unknowns x, y, z.
Advertisements
Solution
Since x + 80° = 180° ...[Sum of adjacent angles is 180°]
x = 180° − 80° = 100°
Also 80° = y ...[∵ Opposite angles are equal in a parallelogram]
And x = 180° − z ⇒ 100° = 180° − z
⇒ z = 180° − 100° = 80°
Thus x = 100°, y = 80° and z = 80°
APPEARS IN
RELATED QUESTIONS
Consider the given parallelograms. Find the values of the unknowns x, y, z.
In the above figure both RISK and CLUE are parallelograms. Find the value of x.
Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm
In the given figure, AB || EC, AB = AC and AE bisects ∠DAC. Prove that:
- ∠EAC = ∠ACB
- ABCE is a parallelogram.
Iron rods a, b, c, d, e, and f are making a design in a bridge as shown in the figure. If a || b, c || d, e || f, find the marked angles between d and e
Iron rods a, b, c, d, e, and f are making a design in a bridge as shown in the figure. If a || b, c || d, e || f, find the marked angles between c and f
Find the values of x and y in the following parallelogram.
A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.
Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and ∠B = 60°.
Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm.
