Answer:
114°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
__
<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°
_____
<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:
-14.53
Step-by-step explanation:
-5.23-9.3=-14.53 it's a negative plus a negative
22 feet. Using the sine rule theory: 20/sin(65)=x/sin(90). You know that it's 90 degrees because you assume the ground and the building make a 90 degree angle. So, you cross multiply and get 20sin(90)/xsin(65) and solve for x.
x makes a linear pair with 120 degrees, so is supplementary:
Answer: 60 degrees
Answer:
12x-6
Step-by-step explanation:
