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In the figure above, m + n = 110. What is the value of o + p ?
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04 Dec 2014, 07:50
04 Dec 2014, 07:50
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A
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Tough and Tricky questions: Geometry.
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A) 70
B) 110
C) 250
D) 270
E) 330
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Re: In the figure above, m + n = 110. What is the value of o + p ?
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04 Dec 2014, 10:41
04 Dec 2014, 10:41
As m and n add upto 110 degrees, the third angle in the triangle must be 70 degrees.
We can see the the angle just above this is a vertical angle, so it must also be 70 degrees. So now we know the two angles next to angles O and P (let's call them O' and P') add upto 110 degrees. Also note that all angles making up a straight line must add upto 180 degrees. So, O + O' and P + P' must each add upto 180 degrees--all four add upto 360 degrees. Know this and know that O' + P' add upto 110 yields O + P = 250 degrees.
Choice C
We can see the the angle just above this is a vertical angle, so it must also be 70 degrees. So now we know the two angles next to angles O and P (let's call them O' and P') add upto 110 degrees. Also note that all angles making up a straight line must add upto 180 degrees. So, O + O' and P + P' must each add upto 180 degrees--all four add upto 360 degrees. Know this and know that O' + P' add upto 110 yields O + P = 250 degrees.
Choice C
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Re: In the figure above, m + n = 110. What is the value of o + p ?
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04 Dec 2014, 10:54
04 Dec 2014, 10:54
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let r be the point of intersection of two lines.
since, m+n= 110
therefore r= 180-110
r=70
Therefore degree of opposite angle= 70
In triangle ORP,
angle POR = 180-o
angle OPR = 180-p
angle ORP = 70
180-o+180-p+70=180
-o-p=-250
o+p=250
Ans = C
PS :- I have used O and P as vertices of triangle just for the sake of explanation.
since, m+n= 110
therefore r= 180-110
r=70
Therefore degree of opposite angle= 70
In triangle ORP,
angle POR = 180-o
angle OPR = 180-p
angle ORP = 70
180-o+180-p+70=180
-o-p=-250
o+p=250
Ans = C
PS :- I have used O and P as vertices of triangle just for the sake of explanation.
