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A figure is shownselect all the statements that are true

A figure is shownselect all the statements that are true-example-1
User Atul Soman
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1 Answer

20 votes
20 votes

Vertical angles are the opposite angles when a "X" (cross) is formed.

They are equal.

Adjacent angles are angles next to one another. They add to 180 degrees.

Complementary angles are angles that add to 90 degrees.

From the figure, we can say the following:

• B and C are vertical angles

,

• A and D are vertical angles

,

• A and B are adjacent angles

,

• B and D are adjacent angles

,

• D and C are adjacent angles

,

• C and A are adjacent angles

The first statement is false. Since C is vertical angles to B, it should be equal to B, 50 degrees.

The second statement is true. Since B and D are adjacent angles, 50 + D = 180, So, D = 130.

Third statement is true. B and C are vertical angles.

Fourth statement is false. B and C are not adjacent angles, they are vertical.

Fifth statement is true. B and D are adjacent angles.

Sixth statement is false. B and A aren't complementary. They are rather supplementary (two angles that add to 180 degrees).

Thus,

The true statements are:

2nd

3rd

5th

User Vonlost
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