Angles and Parallel Lines
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
 1
 2
 3
 4
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
 1
 2
 3
 4
 Answered
 Review

Question 1 of 4
1. Question
Find the value of `x` `x=` (58)`°`
Hint
Help VideoCorrect
Correct!
Incorrect
Vertically Opposite Angles
Corresponding Angles
CoInterior Angles
CoInterior Angles are when two angles have a sum of `180°`.Vertically Opposite Angles are equal.To solve for `x`, get the supplementary angle of `122°`.First, we can see from the diagram that `122°` and `/_ACD` are cointerior angles, which add to `180°`Since cointerior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `/_ACD`.`/_ACD+122` `=` `180` `/_ACD+122` `122` `=` `180` `122` Subtract `122` from both sides `/_ACD` `=` `58°` Finally, we can see that angle `/_ACD` is vertically opposite to angle `x`Since vertically opposite angles are equal, `/_ x=58°``/_ x=58°` 
Question 2 of 4
2. Question
Find the value of `a` `a=` (100)`°`
Hint
Help VideoCorrect
Fantastic!
Incorrect
Alternate Angles
Corresponding Angles
CoInterior Angles
CoInterior Angles are when two angles have a sum of `180°`.A Revolution is when angles meet on a point and have a sum of `360°.` Typically, these angles form a circle.To solve for `a`, add it to the cointerior angles of `55°` and `45°`, then set their sum to `360°`.First, we can see from the diagram that `45°` and `/_DCE` are cointerior angles, which add to `180°`Since cointerior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `/_DCE`.`/_DCE+45` `=` `180` `/_DCE+45` `45` `=` `180` `45` Subtract `45` from both sides `/_DCE` `=` `135°` Next, we can see from the diagram that `55°` and `/_DCB` are cointerior angles, which add to `180°`Since cointerior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `/_DCB`.`/_DCB+55` `=` `180` `/_DCB+55` `55` `=` `180` `55` Subtract `55` from both sides `/_DCB` `=` `125°` Angle `a, /_DCE,` and `/_DCB` meet at a point, which makes them a revolutionSince a revolution adds to `360°,` add the angle measures and set their sum to `360°` in order to solve for `a``a+``/_DCE``+``/_DCB` `=` `360` `a+135+125` `=` `360` Plug in the known values `a+260` `=` `360` Simplify `a+260` `260` `=` `360` `260` Subtract `260` from both sides `a` `=` `100°` `/_ a=100°` 
Question 3 of 4
3. Question
Find the value of `x` `x=` (85)`°`
Hint
Help VideoCorrect
Keep Going!
Incorrect
Alternate Angles
Corresponding Angles
CoInterior Angles
CoInterior Angles are when two angles have a sum of `180°`.Alternate Angles are equal.To solve for `x`, get the supplementary angle of `95°`.First, we can see from the diagram that `95°` and `/_BDC` are cointerior angles, which add to `180°`Since cointerior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `/_BDC`.`/_BDC+95` `=` `180` `/_BDC+95` `95` `=` `180` `95` Subtract `95` from both sides `/_BDC` `=` `85°` Finally, we can see from the diagram that `/_BDC°` and `x` are alternate angles, which means they are equalTherefore, `/_ x=85°``/_ x=85°` 
Question 4 of 4
4. Question
Find the value of `k` `k=` (250)`°`
Hint
Help VideoCorrect
Excellent!
Incorrect
Alternate Angles
Corresponding Angles
CoInterior Angles
CoInterior Angles are when two angles have a sum of `180°`.To solve for `k`, add the cointerior angles of `50°` and `60°`.First, add an imaginary line to the figure in a way that it is parallel to the two other parallel lines.Now, we can see from the diagram that `50°` and `x` are cointerior angles, which add to `180°`Since cointerior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `x`.`x` `+50` `=` `180` `x` `+50` `50` `=` `180` `50` Subtract `60` from both sides `x` `=` `130°` Next, we can also see from the diagram that `60°` and `y` are cointerior angles, which add to `180°`Since cointerior angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `y`.`y` `+60` `=` `180` `y` `+60` `60` `=` `180` `60` Subtract `60` from both sides `y` `=` `120°` Finally, add the value of `x` and `y` to get the value of `k``k` `=` `x``+``y` `k` `=` `130``+``120` Plug in the known values `k` `=` `250°` `/_ k=250°`
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 CoInterior Angles 1
 Alternate, Corresponding and CoInterior Angles 2
 Alternate, Corresponding and CoInterior Angles 3
 Angles and Parallel Lines
 Triangle Geometry 1
 Triangle Geometry 2
 Triangle Geometry 3
 Quadrilateral Geometry 1
 Quadrilateral Geometry 2