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Find the measure of Angles A, C, D

Find the measure of Angles A, C, D-example-1
User Sushivam
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1 Answer

10 votes

Answer:

A= 65 C= 65 and D= 115

Explanation:

given a parallelogram .

interior angles sum is 360 degree.

sum of adjacent angles is 180degree.

opposite angles are congruent (B=D).

A + B + C + D = 360

(A + D) + C + 115 = 360 since A and D are adjacent angles .

180 + 115 + C = 360

295 + C = 360

C = 360 - 295

C = 65

D = 115

A = 65

a+b+c+d=360

65 + 65 + 115 + 115 = 360

130 + 230 = 360

360 = 360

User Ketan
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4.8k points