Quadrilateral Geometry 2
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=` (4)
Correct
Keep Going!
Incorrect
The sum of the interior angles in a quadrilateral is `360°`Since the interior angles of a quadrilateral add to `360°,` add the angle measures and set their sum to `360°.` Then, solve for `x`.`30x-2+62+62+118` `=` `360` `30x+240` `=` `360` Simplify `30x+240` `-240` `=` `360` `-240` Subtract `240` from both sides `30x` `=` `120` `30x``divide30` `=` `120``divide30` Divide both sides by `30` `x` `=` `4` `x=4` -
Question 2 of 4
2. Question
Find the value of `x`
- `x=` (105)`°`
Hint
Help VideoCorrect
Great Work!
Incorrect
Supplementary angles are when two angles have a sum of `180°.` Typically, these angles lie on a straight line.Opposite angles of a parallelogram have equal values.Find the missing supplementary angle, which is equal to the value of `x`.First, we can see from the diagram that the exterior angle `75°` and the interior angle `/_ADC` lie on a straight line. Therefore, they are supplementary angles
Since supplementary angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `a`.`/_ADC+75` `=` `180` `/_ADC+75` `-75` `=` `180` `-75` Subtract `75` from both sides `/_ADC` `=` `105°` Finally, the angle `/_ADC` is opposite to angle `x`
Since opposite angles on a parallelogram are equal, `/_ x=105°``/_ x=105°` -
Question 3 of 4
3. Question
Find the value of `a`, `b`, and `c`
-
`a=` (113)`°``b=` (35)`°``c=` (32)`°`
Hint
Help VideoCorrect
Nice Job!
Incorrect
Alternate Angles are equal.The sum of the interior angles in a triangle is `180°`Opposite angles of a parallelogram have equal values.First, we can see from the diagram that `35°` and `b` are alternate angles, which means they are equal
Therefore, `/_ b=``35°`Next, since the interior angles of a triangle add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for `c`.`b+c+113` `=` `180` `35+c+113` `=` `180` Plug in the known values `c+148` `=` `180` Simplify `c+148` `-148` `=` `180` `-148` Subtract `148` from both sides `/_ c` `=` `32°` Finally, the angle `113°` is opposite to angle `a`
Since opposite angles on a parallelogram are equal, `/_ a=``113°``/_ a=113°``/_ b=35°``/_ c=32°` -
-
Question 4 of 4
4. Question
Find the value of `/_BED`
- `/_BED=` (57)`°`
Hint
Help VideoCorrect
Fantastic!
Incorrect
An Isosceles Triangle has two congruent sides (the two sides with dashes) and the two base angles are equal.Supplementary angles are when two angles have a sum of `180°.` Typically, these angles lie on a straight line.The sum of the interior angles in a quadrilateral is `360°`To solve for `/_BED`, first find `/_EBC`. Add these two angles to the two given interior angles, then set their sum to `360°`First, since the base angles in an isosceles triangle are equal, `/_ABE` is equal to `70°``/_ABE` `=` `70°` 
Next, we can see from the diagram that the angle `/_ABE` and the angle `/_EBC` lie on a straight line. Therefore, they are supplementary angles
Since supplementary angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `/_EBC`.`/_EBC+/_ABE` `=` `180` `/_EBC+70` `=` `180` Plug in the known values `/_EBC+70` `-70` `=` `180` `-70` Subtract `70` from both sides `/_EBC` `=` `110°` Finally, since the interior angles of a quadrilateral add to `360°,` add the angle measures and set their sum to `360°.` Then, solve for `/_BED`.`/_BED+/_EBC+109+84` `=` `360` `/_BED+110+109+84` `=` `360` Plug in the known lengths `/_BED+303` `=` `360` Simplify `/_BED+303` `-303` `=` `360` `-303` Subtract `303` from both sides `/_BED` `=` `57°` `/_ BED=57°`
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
- Congruent Triangles 1
- Congruent Triangles 2
- Deductive Geometry (Reasoning) 1
- Deductive Geometry (Reasoning) 2