1159
?
40°
Solve for the missing angle

75 degrees

Step-by-step explanation:

Let's label the angles:

The one near 115 degrees is A.

The ? is B.

The one near 40 is C.

(All of them are interior.)

To find A:

180 - 115 = 65

A = 65 degrees

To find C (this one's a bit hard to explain):

The cross made by two lines near the 40 degrees makes vertical angles.

So, C = 40 degrees

All angles in a triangle add up to 180 degrees so:

65 + 40 = 105

180 - 105 = 75

So:

Angle B = 75 degrees

Hope this helps!

(please let me know if you need further clarification)

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

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.

(

−

∞

,

−

2

]

∪

[

0

,

∞

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{

y

|

y

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,

y

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step-by-step explanation: