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23 Jul 2020, 01:31
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C
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Difficulty:
25%
(medium)
Question Stats:
80% (02:27) correct
20%
(02:49)
wrong
based on 79
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Time
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Not Attempted Yet
In the figure above angle, x is 10º. What is the measure of ∠z?
A. 40º
B. 45º
C. 60º
D. 85º
E. 100º
Attachment:
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ArunSharma12
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23 Jul 2020, 01:56
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Quote:
25 + y + (180 - z) = 180
z - y = 25
10 + z + (180 - 2y) = 180
z - 2y = -10
y + 25 = 2y - 10
y = 35
z = 25 + 35 = 60
Ans: C
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23 Jul 2020, 02:12
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Angle ADB + Angle BDE + Angle EDF = 180°
10 + Angle BDE + 10 = 180
Angle BDE = 160
Also, In triangle BCD
Angle BDE + Angle EDF = Z+(180-2y) {exterior angle}
180-2y+Z = 170
10-2Y+Z = 0 ---------(1)
In triangle ABC
25+Y+180-Z = 180
25+Y-Z = 0 --------(2)
equating both equations
Y = 35
Angle CBD = 180-2Y
=> 180-2(35)
=> 180-70 = 110
Z = 180-BDC-CBD
Z = 180-10-CBD
Z = 180-120
Z = 60
Answer is C
Posted from my mobile device
10 + Angle BDE + 10 = 180
Angle BDE = 160
Also, In triangle BCD
Angle BDE + Angle EDF = Z+(180-2y) {exterior angle}
180-2y+Z = 170
10-2Y+Z = 0 ---------(1)
In triangle ABC
25+Y+180-Z = 180
25+Y-Z = 0 --------(2)
equating both equations
Y = 35
Angle CBD = 180-2Y
=> 180-2(35)
=> 180-70 = 110
Z = 180-BDC-CBD
Z = 180-10-CBD
Z = 180-120
Z = 60
Answer is C
Posted from my mobile device
Attachments
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