please answer this question fast please answer this question
Answers
Answer:
(IV) = Sum of angles in a triangle is 180°
So,
(2x + 15) + (x + 10) + (3x + 5) = 180
6x + 30 = 180
x + 5 = 30
x = 25
(V) = Opposite sides in parallelogram are equal,
So,
5x - 1 = 3x + 5
2x = 6
x = 3
(VI) = In parallelogram, opposite angles are equal
and adjacent angles are equal to 180°
So,
if Q = 110°
S = 110°
and P = R = 70°
(VII) = In parallelogram, opposite angles are equal
and adjacent angles are equal to 180°
So,
A and B are adjacent,
(3y) + (2y - 5) = 180
5y = 185
y = 37
and since A and C are opposite angles,
(3y) = (3x + 3)
3×37 = 3x + 3
37 = x + 1
x = 36
(x,y) = (36,37)
(VIII) In parallelogram, diagonals bisect each other,
So,
OD = OB
which gives,
2y + 13 = 5y + 4
3y = 17
y = 17/3
also, OA = OC
which gives,
x + 8 = 16 - x
2x = 24
x = 12
(x,y) = (12,17/3)
Hope this helps you.
Answer:
#hope this will help you