n parallelogram WZYX, ∠W = (3m)° and ∠Z = (2m 5)°. What is the measure of ∠X? Responses 35° 35° 75° 75° 79° 79° 105°

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25-02-2024
Mathematics

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n parallelogram WZYX, ∠W = (3m)° and ∠Z = (2m 5)°. What is the measure of ∠X? Responses 35° 35° 75° 75° 79° 79° 105°

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harsikasinghah harsikasinghah · Answer 1 · 2024-02-25T15:27:55+01:00

Answer: the measure of ∠X in parallelogram WZYX is 15°

Step-by-step explanation : In a parallelogram, opposite angles are equal. Therefore, if ∠W = 3m°, then ∠Z = 3m° as well. Given that ∠Z = (2m 5)°, we can set up the equation:

3m = 2m + 5

By solving this equation, we find:

m = 5

Now, we can find the measure of ∠X:

∠X = ∠Z = 3m = 3(5) = 15°

Therefore, the measure of ∠X in parallelogram WZYX is 15°