Complementary and Supplementary Angles 2

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Question 1 of 4

1. Question
Find the value of $y$
- $y=$ (62) $°$
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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 $y$ .

$y+118$ $=$ $180$

$y+118$ $-118$ $=$ $180$ $-118$ Subtract $118$ from both sides

$y$ $=$ $62°$

$/_ y=62°$
Question 2 of 4

2. Question
Find the value of $a$
- $a=$ (61) $°$
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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 $a$ .

$a+29+90$ $=$ $180$

$a+119$ $=$ $180$ Simplify

$a+119$ $-119$ $=$ $180$ $-119$ Subtract $119$ from both sides

$a$ $=$ $61°$

$/_ a=61°$

Question 3 of 4

Find the value of

$a$

$a=$ (55) $°$

Question 4 of 4

Find the value of

$x$

$x=$ (45) $°$

$40+30+a+a$	$=$	$180$
$70+2a$	$=$	$180$	Simplify
$2a+70$ $-70$	$=$	$180$ $-70$	Subtract $70$ from both sides
$2a$	$=$	$110$
$2a$ $divide2$	$=$	$110$ $divide2$	Divide both sides by $2$
$a$	$=$	$55°$

$x+x+x+45$	$=$	$180$
$3x+45$	$=$	$180$	Simplify
$3x+45$ $-45$	$=$	$180$ $-45$	Subtract $45$ from both sides
$3x$	$=$	$135$
$3x$ $divide3$	$=$	$135$ $divide3$	Divide both sides by $3$
$x$	$=$	$45°$

Complementary and Supplementary Angles 2

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Quizzes

$y+118$	$=$	$180$
$y+118$ $-118$	$=$	$180$ $-118$	Subtract $118$ from both sides
$y$	$=$	$62°$

$a+29+90$	$=$	$180$
$a+119$	$=$	$180$	Simplify
$a+119$ $-119$	$=$	$180$ $-119$	Subtract $119$ from both sides
$a$	$=$	$61°$