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Lines $m_{1}$, $m_{2}$, $l_{1}$ and $l_{2}$ are coplanar, and they are drawn such that $l_{1}$ is parallel to $l_{2}$, and $m_{2}$ is perpendicular to $l_{2}$. If the measure of angle 1 is 50 degrees, what is the measure in degrees of angle 2 in the figure below?

Lines m1 m2 l1 and l2 are coplanar and they are drawn such that l1 is parallel to l2 and m2 is perpendicular to l2 If the measure of angle 1 is 50 degrees what class=

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DatGuy323

Answer: 140 degrees

Step-by-step explanation:

Because m2 is perpendicular to l1, the bottom angle made from m2 and l1 is a right angle = 90 degrees.  The angle vertical to 1 = 50 degrees.  Thus, the angle made from both of these is equal to 140 degrees.  Because l1 is parallel to l2, <2 is congruent to this angle, and thus equals 140 degrees.  

Wow, that would be much easier if the angles were labeled.

Hope it helps <3

mathmate

Answer:

angle = 140 degrees

Step-by-step explanation:

Given:

All lines coplannar.

L1 || L2

m2 perpendicular to L1

angle 1 = 50 degrees

Solution

Refer to attached diagram

angle 4 = 90 degrees    ........... given

angle 3 = 180 - angle 4 - angle 1 = 180 - 90 - 50 = 40 degrees  .... angles on a line

angle 2 + angle 3 = 180 degrees  ............. sum interior angles between parallel lines L1 and L2

=>

angle 2 = 180 - angle 3 = 180 - 40 = 140 degrees.

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