Complementary and Supplementary Angles 3

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Question 1 of 3

Find the value of

x

$x$

$x =$ $x=$ (15) $°$ $°$

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Supplementary angles are when two angles have a sum of

180 ° .

$180°.$ Typically, these angles lie on a straight line.

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

$x$ .

Note that the angle marked with a square is a right angle, which is equal to

90 ° .

$90°.$

$x + 20 + 90 + 2 x + 25$ $x+20+90+2x+25$	$=$ $=$	$180$ $180$
$3 x + 135$ $3x+135$	$=$ $=$	$180$ $180$	Simplify
$3 x + 135$ $3x+135$ $- 135$ $-135$	$=$ $=$	$180$ $180$ $- 135$ $-135$	Subtract $135$ $135$ from both sides
$3 x$ $3x$	$=$ $=$	$45$ $45$
$3 x$ $3x$ $\div 3$ $divide3$	$=$ $=$	$45$ $45$ $\div 3$ $divide3$	Divide both sides by $3$ $3$
$x$ $x$	$=$ $=$	$15 °$ $15°$

∠ x = 15 °

$/_ x=15°$

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

$x$ $x$ $=$ $=$ $123 °$ $123°$

$∠ x = 123 °$ $/_ x=123°$

Complementary and Supplementary Angles 3

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Quiz summary

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1. Question

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2. Question

Fantastic!

3. Question

Excellent!

Quizzes

$b + 97$ $b+97$	$=$ $=$	$180$ $180$
$b + 97$ $b+97$ $- 97$ $-97$	$=$ $=$	$180$ $180$ $- 97$ $-97$	Subtract $97$ $97$ from both sides
$b$ $b$	$=$ $=$	$83 °$ $83°$

$x + 57$ $x+57$	$=$ $=$	$180$ $180$
$x + 57$ $x+57$ $- 57$ $-57$	$=$ $=$	$180$ $180$ $- 57$ $-57$	Subtract $57$ $57$ from both sides
$x$ $x$	$=$ $=$	$123 °$ $123°$