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?
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.