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In triangle PQR above, what is the value of z?
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27 Aug 2020, 10:31
27 Aug 2020, 10:31
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Question Stats:
90% (00:40) correct
10% (01:40) wrong based on 10 sessions
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In triangle PQR above, what is the value of z?
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70
Re: In triangle PQR above, what is the value of z?
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27 Aug 2020, 10:31
27 Aug 2020, 10:31
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Re: In triangle PQR above, what is the value of z?
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27 Aug 2020, 23:46
27 Aug 2020, 23:46
1
Let's call the two missing angles a and b.
In the small triangle we have that the sum of the interior angles is 180° so a+b+130=180. This gives a+b=50
In the large triangle (PQR) we also have the sum of the interior angles is 180° so now we have z + (25+a) + (35+b)=180, that is z=180 - 25 - 35 - (a+b) but a+b=50
So z=180 - 25 - 35 - 50 = 70.
In the small triangle we have that the sum of the interior angles is 180° so a+b+130=180. This gives a+b=50
In the large triangle (PQR) we also have the sum of the interior angles is 180° so now we have z + (25+a) + (35+b)=180, that is z=180 - 25 - 35 - (a+b) but a+b=50
So z=180 - 25 - 35 - 50 = 70.
