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Bunuel

In the figure above, if angle BAC = 80°, then z =

(A) 100
(B) 105
(C) 110
(D) 120
(E) 125

Attachment:
2017-08-24_1249_003.png

Hi..
We do not require any other MEASURE of angle..
SUM of two other angles =angle A+angle B=2x+2y=180-30=150...X+y=75
Angle z= 180- x+y=180-75=105
B
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Bunuel

In the figure above, if angle BAC = 80°, then z =

(A) 100
(B) 105
(C) 110
(D) 120
(E) 125

Attachment:
2017-08-24_1249_003.png


x+y+z=180
2x=80, x=40
2y+80+30=180
2y=70, y=35
35+40+z=180
z=105

Answer is B
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Bunuel

In the figure above, if angle BAC = 80°, then z =

(A) 100
(B) 105
(C) 110
(D) 120
(E) 125

Since angle BAC = 80 = 2x, x = 40.

We know that the sum of the interior angles of a triangle is 180 degrees. Thus, angle ABC = 180 - 30 - 80 = 70 = 2y, and so y = 35.

Since x = 40 and y = 35, angle z = 180 - 40 - 35 = 105.

Answer: B
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