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What is the value of x in the figure shown below?

What is the value of x in the figure shown below?-example-1
User Stefan Hegny
by
3.0k points

2 Answers

26 votes
26 votes

angle ACD = 180°-100°-30° (int angles, AC//BD)

= 50°

x° = 50°-30°

= 20°

Hence, x=20

User Gforcada
by
2.6k points
21 votes
21 votes

Answer:

  • x = 50

Explanation:

The figure is a parallelogram. According to its property the adjacent angles are supplementary.

A and C are supplementary as adjacent angles.

Supplementary angles add up to 180°:

  • x + 30 + 100 = 180
  • x = 180 - 130
  • x = 50
User Topera
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2.8k points