Quadrilateral Geometry 1
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Question 1 of 5
1. Question
Find the value of `h`
- `h=` (58)`°`
Hint
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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 `h`.`h+78+126+98` `=` `360` `h+302` `=` `360` Simplify `h+302` `-302` `=` `360` `-302` Subtract `302` from both sides `h` `=` `58°` `/_ h=58°` -
Question 2 of 5
2. Question
Find the value of `x`
- `x=` (116)`°`
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Nice Job!
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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`.`x+116+64+64` `=` `360` `x+244` `=` `360` Simplify `x+244` `-244` `=` `360` `-244` Subtract `244` from both sides `x` `=` `116°` `/_ x=116°` -
Question 3 of 5
3. Question
Find the value of `x`
- `x=` (92)`°`
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Excellent!
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`.Note that the angle marked with a square is a right angle, which is equal to `90°.``x+90+86+92` `=` `360` `x+268` `=` `360` Simplify `x+268` `-268` `=` `360` `-268` Subtract `268` from both sides `x` `=` `92°` `/_ x=92°` -
Question 4 of 5
4. Question
Find the value of `x`
- `x=` (6)
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Fantastic!
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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`.`12x+3+76+104+105` `=` `360` `12x+288` `=` `360` Simplify `12x+288` `-288` `=` `360` `-288` Subtract `288` from both sides `12x` `=` `72` `12x``divide12` `=` `72``divide12` Divide both sides by `12` `x` `=` `6` `x=6` -
Question 5 of 5
5. Question
Find the value of `a`
- `a=` (97)`°`
Hint
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The sum of the interior angles in a quadrilateral is `360°`Supplementary angles are when two angles have a sum of `180°.` Typically, these angles lie on a straight line.Find the missing interior angle, then solve for its supplementary angle.Since the interior angles of a quadrilateral add to `360°,` add the angle measures and set their sum to `360°.` Then, solve for the missing angle.`x+112+81+84` `=` `360` Let `x` be the missing angle `x+277` `=` `360` Simplify `x+277` `-277` `=` `360` `-277` Subtract `277` from both sides `x` `=` `83°` Next, we can see from the diagram that the exterior angle `a` and the interior angle `x` 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`.`a+83` `=` `180` `a+83` `-83` `=` `180` `-83` Subtract `83` from both sides `a` `=` `97°` `/_ a=97°`
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