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Consider parallelogram ABCD below.
Use the information given in the figure to find x, m

Consider parallelogram ABCD below. Use the information given in the figure to find-example-1
User El Yobo
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1 Answer

4 votes

Answer:

x = 3 ; ∠m B = 85° ; ∠m BAC = 34°

Explanation:

Opposite sides of a parallelogram are equal. If 2x = 6, then x must be equal to 3. The same idea goes for angles. Since angle D measures 85°, angle B must as well. Using the formula 180°(n-2), where n = number of sides, it is seen that there are 180°(2) = 360° in a four sided shape. Knowing two of them, we can subtract 85*2 from 360 to find the rest of the degrees. 360° - 170° = 190°. Since the other two angles are equal as well, 190°/2 = 95°. Since ∠m DAC = 61°, ∠m BAC must equal 95°-61°, which is equal to 34°

User Rob Lowe
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