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Answers
Step-by-step explanation:
1.
Given that
ABCD is a Parallelogram.
We know that
The digonals bisects to each other.
=> 3x-1 = 2(x+1)
=> 3x-1 = 2x+2
=> 3x-2x = 2+1
=> x = 3
Therefore, x = 3
and
6y-1 = 5y+1
=> 6y-5y = 1+1
=> y = 2
Therefore, y = 2
2.
Given that
ABCD is a rhombus .
We know that
The digonals bisects to each at right angle.
=> x°+90°+40° = 180°
=> x° + 130° = 180°
=> x° = 180°-130°
=> x° = 50°
Therefore, x = 50°
We know that
The opposite sides are equal and parallel.
=> PQ || SR and PR is a transversal then
We know that
Alternative interior angles are equal.
=> y = 40°
Therefore, y = 40°
Answer:-
I) x = 3 and y = 2
ii) x = 50° and y = 40°
Used formulae:-
→ The diagonals bisect to each other in a Parallelogram.
→ The digonals bisects at right angle to each other in a rhombus.
→ If two parallel lines Intersected by a transversal then alternative interior angles are equal.