Find the angle measures.

m < 1 = 168°

m < 2 = 12°

Step-by-step explanation:

Given that the two angles are supplementary, whose sum add up to 180°,  and that:

m < 1 = 7x°

m < 2 = (x - 12)°

We can establish the following equation to solve for the measurement of angles 1 and 2:

180° = m < 1 + m < 2

Substitute the values for m < 1 and m < 2 into the equation:

180° = 7x° + (x - 12)°

180° = 7x + x - 12

180° = 8x - 12

Add 12 to both sides:

180° +12  = 8x - 12 + 12

192 = 8x

Divide both sides by 8:

24°  = x

Therefore:

m < 1 = 7x° = 7(24)° = 168°

m < 2 = (x - 12)° = (24 - 12)° = 12°

To verify that this is corret, add m < 1 and m < 2:

180° = m < 1 + m < 2

180° = 168° + 12°

Since the measurements of m < 1 and m < 2 add up to 180°, then it means that we derived the correct answers.  

step-by-step explanation:

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step-by-step explanation:

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