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
Step-by-step explanation:
The following match
* a² + 2ab + b² and (a + b)²
* a² - b² and (a - b)(a + b)
* a² - 2ab + b² and (a - b)²
* a³ - b³ and (a - b)(a² + ab + b²)
* a³ + b³ and (a + b)(a² - ab + b²)
* y = 10x Direct variation
* xy = 18 Algorithm
* y = 4xz Joint variation
* y = 4x/z Inverse variation
Answer:
Step-by-step explanation:
Answer:
f(9) = - 2/3
Step-by-step explanation:
I don't really know how to answer those but I think I am right
