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2 years ago

HELP PLEASE. For parallelogram LMNO, if m∠L = 3x - 25 and m∠N = 2x - 10, find m∠M.

Mathematics

1 answer:

Dvinal [7]2 years ago

5 0

In a parallelogram opposite angles are congruent, that means:

Angle L = Angle N, replace L & N by they respective value, then

3x-25 = 2x-10 ==> x=15 , Now plug the value of x in any of the 2 sides
3(15) -25 =20°

hence Angle L =- Angle N = 20°

Now let's calculate Angle M. In a parallelogram the adjacent angle are supplementary, that means their sum = 180°, then

Angle N + Angle N = 180°==> Angle M = 180°-20° = 160°

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1 year ago

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Option B:

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Solution:

In the given figure $\triangle A B C \cong \triangle D E C$ .

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By CPCTC, in $\triangle A B C \ \text{and}\ \triangle D E C$ ,

$\overline{AB }=\overline{DE}$ – – – – (1)

$\overline{B C}=\overline{EC}$ – – – – (2)

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$\angle ACB=\angle DCE$ – – – – (4)

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Option A: $\overline{B C}=\overline{D C}$

By CPCTC proved in equation (2) $\overline{B C}=\overline{EC}$ .

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Option B: $\overline{A B}=\overline{D E}$

By CPCTC proved in equation (1) $\overline{AB }=\overline{DE}$ .

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Option C: $\angle A C B=\angle D E C$

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Option D: $\angle A B C=\angle E D C$

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Hence Option B is the correct answer.

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Read 2 more answers

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BartSMP [9]

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