Advertisements
Advertisements
Question
The following figure RUNS is parallelogram. Find x and y. (Lengths are in cm)
Advertisements
Solution
We know that the diagonals of a parallelogram bisect each other.
y + 7 = 20
y = 13
x + y = 16
x + 13 = 16
x = 3
Hence, the measures of x and y are 3 cm and 13 cm respectively.
APPEARS IN
RELATED QUESTIONS
Can a quadrilateral ABCD be a parallelogram if ∠A = 70° and ∠C = 65°?
Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm
Prove that the diagonals of a parallelogram bisect each other.
In the following diagram, the bisectors of interior angles of the parallelogram PQRS enclose a quadrilateral ABCD.
Show that:
(i) ∠PSB + ∠SPB = 90°
(ii) ∠PBS = 90°
(iii) ∠ABC = 90°
(iv) ∠ADC = 90°
(v) ∠A = 90°
(vi) ABCD is a rectangle
Thus, the bisectors of the angles of a parallelogram enclose a rectangle.
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
In parallelogram LOST, SN ⊥ OL and SM ⊥ LT. Find ∠STM, ∠SON and ∠NSM.
Find the values of x and y in the following parallelogram.
Two angles of a quadrilateral are each of measure 75° and the other two angles are equal. What is the measure of these two angles? Name the possible figures so formed.
A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.
In the following figure, FD || BC || AE and AC || ED. Find the value of x.
