Complementary and Supplementary Angles 1

Years

Try VividMath Premium to unlock full access

Start Free Trial

Lets see your results!

Points

Score

Time

Retry Quiz

Answered
Review

Question 1 of 4

1. Question
Find the value of $x$
- $x=$ (60) $°$
Hint

Help Video
Correct

Great Work!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

Complementary angles are when two angles have a sum of $90°.$ Typically, these angles form a right angle.

Since complementary angles add to $90°,$ add the angle measures and set their sum to $90°$ in order to solve for $x$

$x+30$ $=$ $90$

$x+30$ $-30$ $=$ $90$ $-30$ Subtract $30$ from both sides

$x$ $=$ $60°$

$/_ x=60°$
Question 2 of 4

2. Question
Find the value of $x$
- $x=$ (40) $°$
Hint

Help Video
Correct

Keep Going!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

Complementary angles are when two angles have a sum of $90°.$ Typically, these angles form a right angle.

Since complementary angles add to $90°,$ add the angle measures and set their sum to $90°$ in order to solve for $x$

$30+x+20$ $=$ $90$

$x+50$ $=$ $90$ Simplify

$x+50$ $-50$ $=$ $90$ $-50$ Subtract $50$ from both sides

$x$ $=$ $40°$

$/_ x=40°$
Question 3 of 4

3. Question
Find the value of $y$
- $y=$ (45) $°$
Hint

Help Video
Correct

Excellent!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

Complementary angles are when two angles have a sum of $90°.$ Typically, these angles form a right angle.

Since complementary angles add to $90°,$ add the angle measures and set their sum to $90°$ in order to solve for $y$

$y+y$ $=$ $90$

$2y$ $=$ $90$ Simplify

$2y$ $divide2$ $=$ $90$ $divide2$ Divide both sides by $2$

$y$ $=$ $45°$

$/_ y=45°$
Question 4 of 4

4. Question
Find the value of $a$
- $a=$ (50) $°$
Hint

Help Video
Correct

Well Done!
Incorrect
Need Text
Play
Current Time 0:00
/
Duration Time 0:00
Remaining Time -0:00
Stream TypeLIVE
Loaded: 0%
Progress: 0%
0:00
Fullscreen
Video Acceleration:
On
Off

00:00
Mute
Playback Rate
1x
2x
1.5x
1.25x
1x
0.75x
0.5x
Subtitles
subtitles off
Captions
captions off
English
Chapters
Chapters

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 $a$ .

$a+130$ $=$ $180$

$a+130$ $-130$ $=$ $180$ $-130$ Subtract $130$ from both sides

$a$ $=$ $50°$

$/_ a=50°$

Complementary and Supplementary Angles 1

Try VividMath Premium to unlock full access

Quiz summary

Information

1. Question

Hint

Great Work!

2. Question

Hint

Keep Going!

3. Question

Hint

Excellent!

4. Question

Hint

Well Done!

Quizzes

$x+30$	$=$	$90$
$x+30$ $-30$	$=$	$90$ $-30$	Subtract $30$ from both sides
$x$	$=$	$60°$

$30+x+20$	$=$	$90$
$x+50$	$=$	$90$	Simplify
$x+50$ $-50$	$=$	$90$ $-50$	Subtract $50$ from both sides
$x$	$=$	$40°$

$y+y$	$=$	$90$
$2y$	$=$	$90$	Simplify
$2y$ $divide2$	$=$	$90$ $divide2$	Divide both sides by $2$
$y$	$=$	$45°$

$a+130$	$=$	$180$
$a+130$ $-130$	$=$	$180$ $-130$	Subtract $130$ from both sides
$a$	$=$	$50°$