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Alternate, Corresponding and Co-Interior Angles>
Alternate, Corresponding and Co-Interior Angles 3Alternate, Corresponding and Co-Interior Angles 3
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Question 1 of 5
1. Question
Find the value of `x` and `y`
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`x=` (99)`°``y=` (81)`°`
Hint
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Alternate Angles
Corresponding Angles
Co-Interior Angles
Corresponding Angles are equal.Supplementary angles are when two angles have a sum of `180°.` Typically, these angles lie on a straight line.First, notice that `y` and `81°` are corresponding angles.Then, to solve for `x`, get the supplementary angle of `81°`.First, we can see from the diagram that `81°` and `y` are corresponding angles, which means they are equal
Therefore, `/_ y=``81°`Notice that `x` lies on a line that is also parallel to `81°` and `y`. This means that the angle supplementary to `x` also measures `81°`
Finally, since supplementary angles add to `180°,` add `x` and `81°` and set their sum to `180°.` Then, solve for the value of `x`.`x+81` `=` `180` `x+81` `-81` `=` `180` `-81` Subtract `81` from both sides `x` `=` `99°` `/_ x=99°``/_ y=81°` -
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Question 2 of 5
2. Question
Find the value of `a`
- `a=` (39)`°`
Hint
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Alternate Angles
Corresponding Angles
Co-Interior Angles
Co-Interior Angles are when two angles have a sum of `180°`.To solve for `a`, add it to `141°` and set their sum to `180°`.We can see from the diagram that `141°` and `a` are co-interior angles, which add up to `180°`
Since co-interior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `a`.`a+141` `=` `180` `a+141` `-141` `=` `180` `-141` Subtract `141` from both sides `a` `=` `39°` `/_ a=39°` -
Question 3 of 5
3. Question
Find the value of `x`
- `x=` (84)`°`
Correct
Excellent!
Incorrect
Alternate Angles
Corresponding Angles
Co-Interior Angles
Co-Interior Angles are when two angles have a sum of `180°`.To solve for `x`, add it to `96°` and set their sum to `180°`.We can see from the diagram that `96°` and `x` are co-interior angles, which add to `180°`
Since co-interior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `x`.`x+96` `=` `180` `x+96` `-96` `=` `180` `-96` Subtract `96` from both sides `x` `=` `84°` `/_ x=84°` -
Question 4 of 5
4. Question
Find the value of `x`
- `x=` (82)`°`
Correct
Well Done!
Incorrect
Alternate Angles
Corresponding Angles
Co-Interior Angles
Co-Interior Angles are when two angles have a sum of `180°`.To solve for `x`, add it to `98°` and set their sum to `180°`.We can see from the diagram that `98°` and `x` are co-interior angles, which add to `180°`
Since co-interior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `x`.`x+98` `=` `180` `x+98` `-98` `=` `180` `-98` Subtract `98` from both sides `x` `=` `82°` `/_ x=82°` -
Question 5 of 5
5. Question
Find the value of `b`
- `b=` (48)`°`
Hint
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Incorrect
Vertically Opposite Angles
Corresponding Angles
Co-Interior Angles
Vertically Opposite Angles are equal.Co-Interior Angles are when two angles have a sum of `180°`.To solve for `b`, get the supplementary angle of `132°`.First, we can see that angle `132°` is vertically opposite to angle `a`
Since vertically opposite angles are equal, `/_ a=132°`Finally, we can see from the diagram that `a` and `b` are co-interior angles, which add to `180°`
Since co-interior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `b`.`a+b` `=` `180` `132+b` `=` `180` Plug in the known values `132+b` `-132` `=` `180` `-132` Subtract `132` from both sides `b` `=` `48°` `/_ b=48°`
Quizzes
- Complementary and Supplementary Angles 1
- Complementary and Supplementary Angles 2
- Complementary and Supplementary Angles 3
- Vertical, Revolution and Reflex Angles 1
- Vertical, Revolution and Reflex Angles 2
- Alternate, Corresponding and Co-Interior Angles 1
- Alternate, Corresponding and Co-Interior Angles 2
- Alternate, Corresponding and Co-Interior Angles 3
- Angles and Parallel Lines
- Triangle Geometry 1
- Triangle Geometry 2
- Triangle Geometry 3
- Quadrilateral Geometry 1
- Quadrilateral Geometry 2