bcox32314
11.11.2020 •
Mathematics
Need help please
What are the measures of angles B and D?
A. ∠B = 55°, ∠D = 55°
B. ∠B = 55°, ∠D = 125°
C. ∠B = 97°, ∠D = 97°
D. ∠B = 83°: ∠D = 97°
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Ответ:
One basic property of a parallelogram is that opposite angles have the same value. Hence angle B = angle D. (2n+15°) = (3n-5°). Then have one side for the unknown. The equation will be 3n=2n+15°+5°. To get the n, simplify the equation: 3n-2n = 20° or n = 20°. Afterwards substitute the value of n to the angles. Angle B = (2(20)+15), Angle D = (3(20)-5). Lastly, simplify the equations. Angle B = (40+15°) = 55° and Angle D = (60-5°)=55°. Therefore the value of angles B & D are both 55°.
Step-by-step explanation:
Ответ:
The answer is B