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: 75.36mm
i don’t know how to explain it i’m sorry
<span>The answer is 0.0357 Wolves/mi. The total amount of square miles at the park is 3472, with 124 wolves living in the park. So we take the miles of the park and divide it by the number of wolves living in the park. 124/3472=0.0357 wolves/mil</span>
Answer:
D
Step-by-step explanation:
So we have the expression:
Use the distributive property and distribute:
Distribute:
Combine like terms:
The correct answer is D
Edit: Typo
