The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm)
Solution:
(i) GUNS
In a parallelogram, the opposite sides have equal length.
In GUNS, SG = NU
3x = 18
x = 18/3
x = 6
Also SN = GU
26 = 3y -1
3y = 26 +1
y = 27/3
y = 9
Hence, the measures of x and y are 6 cm and 9 cm respectively in GUNS.
(ii) RUNS
The diagonals of a parallelogram bisect each other.
Thus in parallelogram RUNS,
Considering diagonal SU, y + 7 = 20
y = 20 - 7
y = 13
Considering diagonl RN, x + y = 16
x + 13 = 16
x = 3
Hence, the measure of x and y are 3 cm and 13 cm respectively in RUNS.
☛ Check: NCERT Solutions for Class 8 Maths Chapter 3
Video Solution:
The following figures GUNS and RUNS are parallelograms. Find x and y
NCERT Solutions for Class 8 Maths Chapter 3 Exercise 3.3 Question 8
Summary:
The following figures GUNS and RUNS are parallelograms. Hence, the measures of x and y are 6 cm and 9 cm respectively in GUNS. The measure of x and y is 3 cm and 13 cm respectively in RUNS
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