Math / Geometry

Question Find the measure of angle D in a parallelogram with $\mathrm{m} \angle B=5x$ and $\mathrm{m} \angle C=2x+12$ . Answer: $\mathrm{m} \angle D = 180 - 5x - (2x+12) = 180 - 7x - 12$ . To check, sum the angles of a parallelogram is 360 degrees.

Studdy Solution
Calculate the total:
$\angle A + \angle B + \angle C + \angle D = 360^\circ$
Since the sum of the angles equals $360^\circ$ , our answer for $\angle D$ is confirmed to be correct.
$\mathrm{m} \angle D= 120^\circ$

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