Determine whether the following sequence is geometric. If so, find the common ratio.
1 answer:
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In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and
m∠N is 180°.
Response:
The true statements are;
- <u>x = 11°</u>
- <u>m∠N = 59°</u>
- <u>m∠O = 121°</u>
The possible drawing of the parallelogram LMNO created with MS Visio is attached.
From the drawing, we have;
m∠M = 11·x
m∠N = 6·x - 7
The properties of a parallelogram are;
Opposite angles are equal.
Adjacent angles are supplementary
Which gives;
11·x + 6·x - 7 = 180°
17·x = (180 + 7)° = 187°
m∠M = 11 × 11° = 121° = m∠O
m∠N = 6 × 11° - 7 = 59° = m∠L
Therefore;
The statements that are true are;
- x = 11°
- m∠N = 59°
- m∠O = 121°
Learn more about the properties of a parallelogram here:
