two adjacent angles form a resulting angle with measure 160 degrees m-angle1 = 3x degrees and m-angle2 = (2x + 10) degrees. solve for x. what are the two unkown angles measurements?

Answer 1

From the information given, we can set up the equation:

3x + (2x + 10) = 160

Combining like terms, we have:

5x + 10 = 160

Subtracting 10 from both sides, we get:

5x = 150

Dividing both sides by 5, we have:

x = 30

Now we can substitute this value of x back into the expressions for the two angles:

m-angle1 = 3x = 3 * 30 = 90 degrees

m-angle2 = 2x + 10 = 2 * 30 + 10 = 60 + 10 = 70 degrees

Therefore, the unknown angles measure 90 degrees and 70 degrees.