In the figure shown, all angles are measured in degrees. Wha

In the figure shown, lines m and n are parallel and all angles are measured in degrees. What is the value of k?

(A) 18
(B) 20
(C) 22
(D) 25
(E) 27

Answer: [spoiler]_____(B)__[/spoiler]

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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fskilnik@GMATH: GMAT Instructor; Posts: 1449; Joined: Sat Oct 09, 2010 2:16 pm; Thanked: 59 times; Followed by:33 members

In the figure shown, lines m and n are parallel and all angl

by fskilnik@GMATH » Thu Mar 07, 2019 9:10 am

fskilnik@GMATH wrote:GMATH practice exercise (Quant Class 1)

In the figure shown, lines m and n are parallel and all angles are measured in degrees. What is the value of k?

(A) 18
(B) 20
(C) 22
(D) 25
(E) 27

$$? = k\,\,\,\left[ {{\rm{degrees}}} \right]$$
$$\left( {5k\,\,{\rm{is}}\,\,{\rm{exterior}}\,\,{\rm{angle}}\,{\rm{for}}\,\,\Delta } \right)\,\,\,:\,\,\,\,5k = \left( {180 - 6k} \right) + \left( {k + k} \right)\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,9k = 180\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\left( {\rm{B}} \right)$$

We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.

Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br

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