Question

Parallelogram L M N O is shown. Angle M is (3 x minus 55) degrees, angle N is (5 y) degrees, and angle O is (2 x) degrees. In parallelogram LMNO, what are the values of x and y? x = 11, y = 14 x = 11, y = 25 x = 55, y = 14 x = 55, y = 25

Answer 1

x = 55, y = 14

Step-by-step explain

it is X = 55, y = 14

Because i said so... Now deal with it :)

Answer 2

The correct option is:

x=55 , y = 14

Explanation:

We know about the following features of a parallelogram:

• Opposite sides are parallel
• Opposite side have equal length
• Opposite angles are equal
• Sum of all angles is 360°

For the parallelogram LMNO, <L and <N are opposite angles, <M and <O are opposite angles.

Are opposite angles are equal.

<M = <O

3x - 55 = 2x

3x - 2x = 55

x = 55

So

<M = 3x - 55 = 110°

<O = 2x = 110°

We know that the sum of angles is 360°

<L + <M + <N + <O = 360°

<L + <N + 110° + 110° = 360°

As <L and <N are opposite, both are equal. hence <L = <M = 5y

5y + 5y + 220° = 360°

10y + 220° = 360°

y = 14