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11 votes
11 votes
Can you help me please

User Zea
by
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1 Answer

19 votes
19 votes

lilkyky67, this is the solution:

Let's recall that the angles in the image are consecutive interior angles and they add up to 180 degrees.

Therefore,

12x - 29 + 4x + 1 = 180

16x - 28 = 180

Adding 28 at both sides:

16x - 28 + 28 = 180 + 28

16x = 208

Dividing by 16 at both sides:

16x/16 = 208/16

x = 13

Now, we can find out the measures of the two angles, as follows:

First angle:

12x - 29 = 12 * 13 - 29

156 - 29 = 127

Second angle:

User SurinderBhomra
by
3.0k points