Alternate, Corresponding and Co-Interior Angles 2

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Question 1 of 5

1. Question
Find the value of $b$ $b$
- $b =$ $b=$ (31) $°$ $°$
Correct

Fantastic!

Incorrect

Alternate Angles

Corresponding Angles

Co-Interior Angles

Alternate Angles are equal.

We can see from the diagram that $31 °$ $31°$ and $b$ $b$ are alternate angles, which means they are equal

Therefore, $∠ b = 31 °$ $/_ b=31°$

$∠ b = 31 °$ $/_ b=31°$
Question 2 of 5

2. Question
Find the value of $x$ $x$
- $x =$ $x=$ (111) $°$ $°$
Correct

Nice Job!

Incorrect

Alternate Angles

Corresponding Angles

Co-Interior Angles

Corresponding Angles are equal.

We can see from the diagram that $111 °$ $111°$ and $x$ $x$ are corresponding angles, which means they are equal

Therefore, $∠ x = 111 °$ $/_ x=111°$

$∠ x = 111 °$ $/_ x=111°$
Question 3 of 5

3. Question
Find the value of $x$ $x$
- $x =$ $x=$ (89) $°$ $°$
Correct

Fantastic!

Incorrect

Alternate Angles

Corresponding Angles

Co-Interior Angles

Corresponding Angles are equal.

We can see from the diagram that $89 °$ $89°$ and $x$ $x$ are corresponding angles, which means they are equal

Therefore, $∠ x = 89 °$ $/_ x=89°$

$∠ x = 89 °$ $/_ x=89°$
Question 4 of 5

4. Question
Find the value of $y$ $y$
- $y =$ $y=$ (84) $°$ $°$
Correct

Correct!

Incorrect

Vertically Opposite Angles

Corresponding Angles

Co-Interior Angles

Corresponding Angles are equal.

Vertically Opposite Angles are equal.

Let the angle corresponding to of $84 °$ $84°$ be $x$ $x$ . Notice that $x$ $x$ is vertically-opposite to $y$ $y$ .

First, we can see from the diagram that $84 °$ $84°$ and $x$ $x$ are corresponding angles, which means they are equal

Therefore, $∠ x = 84 °$ $/_ x=84°$

Finally, we can see that angle $x$ $x$ is vertically opposite to angle $y$ $y$

Since vertically opposite angles are equal, $∠ y = 84 °$ $/_ y=84°$

$∠ y = 84 °$ $/_ y=84°$
Question 5 of 5

5. Question
Find the value of $x$ $x$
- $x =$ $x=$ (50) $°$ $°$
Correct

Great Work!

Incorrect

Alternate Angles

Corresponding Angles

Co-Interior Angles

Co-Interior Angles are when two angles have a sum of $180 °$ $180°$ .

To solve for $x$ $x$ , add it to $130 °$ $130°$ and set their sum to $180 °$ $180°$ .

We can see from the diagram that $130 °$ $130°$ and $x$ $x$ are co-interior angles, which add up to $180 °$ $180°$

Since co-interior angles add to $180 °,$ $180°,$ add the angle measures and set their sum to $180 ° .$ $180°.$ Then, solve for the value of $x$ $x$ .

$x + 130$ $x+130$ $=$ $=$ $180$ $180$

$x + 130$ $x+130$ $- 130$ $-130$ $=$ $=$ $180$ $180$ $- 130$ $-130$ Subtract $130$ $130$ from both sides

$x$ $x$ $=$ $=$ $50 °$ $50°$

$∠ x = 50 °$ $/_ x=50°$

Alternate, Corresponding and Co-Interior Angles 2

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Quiz summary

Information

1. Question

Fantastic!

Alternate Angles

Corresponding Angles

Co-Interior Angles

2. Question

Nice Job!

Alternate Angles

Corresponding Angles

Co-Interior Angles

3. Question

Fantastic!

Alternate Angles

Corresponding Angles

Co-Interior Angles

4. Question

Correct!

Vertically Opposite Angles

Corresponding Angles

Co-Interior Angles

5. Question

Great Work!

Alternate Angles

Corresponding Angles

Co-Interior Angles

Quizzes

$x + 130$ $x+130$	$=$ $=$	$180$ $180$
$x + 130$ $x+130$ $- 130$ $-130$	$=$ $=$	$180$ $180$ $- 130$ $-130$	Subtract $130$ $130$ from both sides
$x$ $x$	$=$ $=$	$50 °$ $50°$