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Complementary and Supplementary Angles 3Complementary and Supplementary Angles 3
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Question 1 of 3
1. Question
Find the value of `x`
- `x=` (15)`°`
Hint
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Supplementary angles are when two angles have a sum of `180°.` Typically, these angles lie on a straight line.Since supplementary angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `x`.Note that the angle marked with a square is a right angle, which is equal to `90°.``x+20+90+2x+25` `=` `180` `3x+135` `=` `180` Simplify `3x+135` `-135` `=` `180` `-135` Subtract `135` from both sides `3x` `=` `45` `3x``divide3` `=` `45` `divide3` Divide both sides by `3` `x` `=` `15°` `/_ x=15°` -
Question 2 of 3
2. Question
Find the value of `b`
- `b=` (83)`°`
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Fantastic!
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Supplementary angles are when two angles have a sum of `180°.` Typically, these angles lie on a straight line.The angles `97°` and `b` lie on a straight line. Therefore, they are supplementary anglesSince supplementary angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `b`.`b+97` `=` `180` `b+97` `-97` `=` `180` `-97` Subtract `97` from both sides `b` `=` `83°` `/_ b=83°` -
Question 3 of 3
3. Question
Find the value of `x`
- `x=` (123)`°`
Correct
Excellent!
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Supplementary angles are when two angles have a sum of `180°.` Typically, these angles lie on a straight line.The angles `57°` and `x` lie on a straight line. Therefore, they are supplementary anglesSince supplementary angles add to `180°,` add the angle measures and set their sum to `180°.` Then, solve for the value of `x`.`x+57` `=` `180` `x+57` `-57` `=` `180` `-57` Subtract `57` from both sides `x` `=` `123°` `/_ x=123°`
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