Answer:
120
Step-by-step explanation:
The measure of ∠E will be equal to 38°.
Given,
m∠BFE = 118° and m∠C = 86°
And BF bisects ∠ABD
From the Property of Linear Pair,
∠AFB + ∠BFE = 180°
=> ∠AFB + 118° = 180°
=> ∠AFB = 62°
Now, we can see that ∠AFB and ∠FBD are equal because they are alternate angles.
And ∠FBD and ∠ABF are equal because BF bisects ∠ABD.
So, In ∆ABF,
∠AFB + ∠ABF + ∠BAF = 180° (because of the angle sum property of a triangle)
=>62° + 62° + ∠BAF = 180°
=>∠BAF = 180° - 124°
=> ∠BAF = 56°
Similarly, in ∆ABE,
∠A +∠C +∠E = 180°
=> 56° + 86° + ∠E = 180°
=> ∠E = 38°
Therefore, m∠E = 38°.
Learn more about Angles of Triangle at
brainly.com/question/28736528
Answer:
-2
Step-by-step explanation:
60/2=6-2n
10=6-2n
6-2n=10
-2n=10-6
-2n=4
n=4/-2
n=-2
Answer:
B
Step-by-step explanation:
We can use the law of cosinse:
= 
− 2ab cos(C)
Suppose the two sides are a and b, and the angle betweent them is C.
= 
− 2*3*4 cos(60)
We can simplify this to get =25-12=13
c=
Answer choice B
