Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since, 
and 
are the parallel lines and m is a transversal line,
m∠FBC = m∠BFG [Alternate interior angles]
Since, and are the parallel lines and n is a transversal line,
m∠BCF = m∠CFE [Alternate interior angles]
By triangle sum theorem in ΔBCF
m∠FBC + m∠BCF + m∠BFC = 180°
From the properties given above,
m∠BFG + m∠CFE + m∠BFC = 180°
m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.
If we say that side "a" is the shortest (adjacent), side "b" is the second shortest (opposite), and side "c" is the longest (hypotenuse): then angle A would be 30°, angle B would be 60°, and angle C would be 90°
tan B = b/a
or
a tan B = b
they have 4 as the smallest value in all four options, so we know that
a=44 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3that leaves two options left, so now we find "c":
c^2 = (a^2) + (b^2)
OR
so
a=4, b=4√3, and c=8
Making your answer
B
Answer:
70.5 it is the answer. I hope I am helpful please mark brainlist
Answer:
103°
Step-by-step explanation:
∠CEA and ∠DEB are vertically opposite angles same as ∠CED and ∠AEB.
Vertically opposite angles are angles that form when two lines intersect
From the figure given, lines CB and AD intersect to form vertically opposite angles mentioned above. Vertically opposite angles are equal, meaning
∠CEA=∠DEB and ∠CED=∠AEB
Replacing ∠CED=∠AEB, we get
(14x+7)°=(12x+17)°
Solve for x
(14x-12x)=17-7
2x=10
x=10÷2=5
value for x in ∠CED=∠AEB, we get (14×5)+7=77°
To calculate ∠CEA and ∠DEB
Let ∠CEA=∠DEB=y
∠DEA=180°since its a straight line therefor
(14x+7)°+y=180°
77+y=180
y=∠CEA=∠DEB=103°
