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Complementary and Supplementary Angles

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Complementary and Supplementary Angles 3

Complementary and Supplementary Angles 3

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Question 1 of 3

Find the value of

x

$x$

$x =$ $x=$ (15) $°$ $°$

Question 2 of 3

2. Question
Find the value of $b$ $b$
- $b =$ $b=$ (83) $°$ $°$
Correct

Fantastic!

Incorrect

Supplementary angles are when two angles have a sum of $180 ° .$ $180°.$ Typically, these angles lie on a straight line.

The angles $97 °$ $97°$ and $b$ $b$ lie on a straight line. Therefore, they are supplementary angles

Since supplementary angles add to $180 °,$ $180°,$ add the angle measures and set their sum to $180 ° .$ $180°.$ Then, solve for the value of $b$ $b$ .

$b + 97$ $b+97$ $=$ $=$ $180$ $180$

$b + 97$ $b+97$ $- 97$ $-97$ $=$ $=$ $180$ $180$ $- 97$ $-97$ Subtract $97$ $97$ from both sides

$b$ $b$ $=$ $=$ $83 °$ $83°$

$∠ b = 83 °$ $/_ b=83°$
Question 3 of 3

3. Question
Find the value of $x$ $x$
- $x =$ $x=$ (123) $°$ $°$
Correct

Excellent!

Incorrect

Supplementary angles are when two angles have a sum of $180 ° .$ $180°.$ Typically, these angles lie on a straight line.

The angles $57 °$ $57°$ and $x$ $x$ lie on a straight line. Therefore, they are supplementary angles

Since supplementary angles add to $180 °,$ $180°,$ add the angle measures and set their sum to $180 ° .$ $180°.$ Then, solve for the value of $x$ $x$ .

$x + 57$ $x+57$ $=$ $=$ $180$ $180$

$x + 57$ $x+57$ $- 57$ $-57$ $=$ $=$ $180$ $180$ $- 57$ $-57$ Subtract $57$ $57$ from both sides

$x$ $x$ $=$ $=$ $123 °$ $123°$

$∠ x = 123 °$ $/_ x=123°$