Answer:
114°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
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<h3>setup</h3>
(11x +15)° = 60° +6x°
<h3>solution</h3>
5x = 45 . . . . . . . . . divide by °, subtract 15+6x
x = 9 . . . . . . . . . . divide by 5
The measure of exterior angle KMN is ...
m∠KMN = (11(9) +15)° = 114°
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<em>Additional comment</em>
Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...
60° +6x° +M = 180°
(11x +15)° +M = 180°
Equating these expressions for 180° and subtracting M gives the relation we used above:
(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°
(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M
This is also described by "supplements to the same angle are equal."
Answer:
x = 55
Step-by-step explanation:
(x - 14) + 99 + 220 = 360
x - 14 + 99 + 220 = 360
x - 14 + 319 = 360
x + 305 = 360
x = 360 - 305
x = 55
-TheUnknownScientist
Answer:
3 with a few left over so 4
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Its tru
Answer:
V=( 1/6 )* π * d³
Step-by-step explanation:
We khow that d= 2r⇒ r=d/2
- so r³= d³/8
- substitute r with d³/8
- V= (4/3)*π*(d³/8) = (4/3*8)*d³*π = (1/6 )* d³ *π
