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12 Oct 2020, 12:19
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
61% (01:48) correct
39%
(01:44)
wrong
based on 31
sessions
History
Date
Time
Result
Not Attempted Yet
What is the measurement of angle p?
(A) 10
(B) 20
(C) 30
(D) 35
(E) 40
(A) 10
(B) 20
(C) 30
(D) 35
(E) 40
Attachments
File comment: YOU CAN CONSIDER THIS DIAGRAM TOO.
ANGLE P.png [ 149 KiB | Viewed 1931 times ]
File comment: Geometry
What is the measurement of angle p.png [ 144.56 KiB | Viewed 1978 times ]
globaldesi
Joined: 28 Jul 2016
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12 Oct 2020, 22:31
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\( \angle\) PAD = 70\({\circ}\) (\( \angle\) BCE + \(\angle\) BCD = 180 so \(\angle\)BCE = 70 and again \(\angle\) BCD +\(\angle\) BAC is supplementary (cyclic angles property) so \(\angle\) BAC = 110 so \(\angle\) PAD = 180 -110 = 70)
\(\angle\) PDA = 80\({\circ}\) (180-110 )
PAD is a triangle so \(\angle\) DPA = 180- (70+80) = 30\({\circ}\)
thus C
\(\angle\) PDA = 80\({\circ}\) (180-110 )
PAD is a triangle so \(\angle\) DPA = 180- (70+80) = 30\({\circ}\)
thus C
13 Oct 2020, 00:51
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globaldesi
Thank you for the solution. But did you mean angle BAD instead of BCE?
Whatever I used a different way using the cyclic property.
Angle BCE IS AN EXTERIOR ANGEL WHICH IS EQUAL TO ANGLE BAD = 110
SO ANGLE BCD =70 AND ANLE ABD = 80
SO THE ANGLE P = 30
