If ABCD is a parallelogram, find the measure of angle C
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Answer:
47
Step-by-step explanation:
Angles B and D are equal.
Angles A and C are equal.
Anges in parallelogram add up to 360°
5x+38=8x-19
57=3x
x=19
B=(5×19)+38=133°
D=(8×19)-19=133°
A+C=360-133-133
A+C=94
A and C are the same so you can do 94/2=
Therefore, both angles A and C are 47 :D
The measure of angle c in the parallelogram is 47°.
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal. Also, opposite angles are equal and the shape has equal diagonals.
∠B = ∠D (opposite angles are equal)
8x - 19 = 5x + 38
x = 19
∠B = 5(19) + 38 = 133°
∠C + ∠B = 180° (base angles of parallelogram_
∠C + 133 = 180
∠C = 47°
The measure of angle c in the parallelogram is 47°.
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