Vertical, Revolution and Reflex Angles 2

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Question 1 of 4

1. Question
Find the value of $b$ $b$
- $b =$ $b=$ (35) $°$ $°$
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Vertically opposite angles have equal values.

Angle $35 °$ $35°$ is vertically opposite to angle $b$ $b$

Since vertically opposite angles are equal, $∠ b = 35 °$ $/_ b=35°$

$∠ b = 35 °$ $/_ b=35°$
Question 2 of 4

2. Question
Find the value of $a$ $a$
- $a =$ $a=$ (120) $°$ $°$
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A Revolution is when angles meet on a point and have a sum of $360 ° .$ $360°.$ Typically, these angles form a circle.

Since the two angles add up to $220 °,$ $220°,$ subtract the known measure to their sum in order to solve for $a$ $a$

$a + 100$ $a+100$ $=$ $=$ $220$ $220$

$a + 100$ $a+100$ $- 100$ $-100$ $=$ $=$ $220$ $220$ $- 100$ $-100$ Subtract $100$ $100$ from both sides

$a$ $a$ $=$ $=$ $120 °$ $120°$

$∠ a = 120 °$ $/_ a=120°$
Question 3 of 4

3. Question
Find the value of $a$ $a$
- $a =$ $a=$ (55) $°$ $°$
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Vertically opposite angles have equal values.

The angle $140 °$ $140°$ is vertically opposite to the sum of angles $a$ $a$ and $85 °$ $85°$

Since opposite angles are equal, $a + 85 °$ $a+85°$ will have the same value as the angle opposite to it

$a + 85$ $a+85$ $=$ $=$ $140$ $140$

$a + 85$ $a+85$ $- 85$ $-85$ $=$ $=$ $140$ $140$ $- 85$ $-85$ Subtract $85$ $85$ from both sides

$a$ $a$ $=$ $=$ $55 °$ $55°$

$∠ a = 55 °$ $/_ a=55°$
Question 4 of 4

4. Question
Find the value of $x$ $x$
- $x =$ $x=$ (270) $°$ $°$
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A Revolution is when angles meet on a point and have a sum of $360 ° .$ $360°.$ Typically, these angles form a circle.

Since a revolution adds to $360 °,$ $360°,$ add the angle measures and set their sum to $360 °$ $360°$ in order to solve for $x$ $x$

$x + 90$ $x+90$ $=$ $=$ $360$ $360$

$x + 90$ $x+90$ $- 90$ $-90$ $=$ $=$ $360$ $360$ $- 90$ $-90$ Subtract $90$ $90$ from both sides

$x$ $x$ $=$ $=$ $270 °$ $270°$

$∠ x = 270 °$ $/_ x=270°$

Vertical, Revolution and Reflex Angles 2

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Quizzes

$a + 100$ $a+100$	$=$ $=$	$220$ $220$
$a + 100$ $a+100$ $- 100$ $-100$	$=$ $=$	$220$ $220$ $- 100$ $-100$	Subtract $100$ $100$ from both sides
$a$ $a$	$=$ $=$	$120 °$ $120°$

$a + 85$ $a+85$	$=$ $=$	$140$ $140$
$a + 85$ $a+85$ $- 85$ $-85$	$=$ $=$	$140$ $140$ $- 85$ $-85$	Subtract $85$ $85$ from both sides
$a$ $a$	$=$ $=$	$55 °$ $55°$

$x + 90$ $x+90$	$=$ $=$	$360$ $360$
$x + 90$ $x+90$ $- 90$ $-90$	$=$ $=$	$360$ $360$ $- 90$ $-90$	Subtract $90$ $90$ from both sides
$x$ $x$	$=$ $=$	$270 °$ $270°$