Two adjacent angles form a resulting angle with measure 160 degrees
M<1 = 3x degrees and m<2 = (2x +10) degress. Solve for x what are the two unknow angles measurements?
To solve for x, we equate the sum of the measures of the two adjacent angles to 160 degrees:
m<1 + m<2 = 160
Therefore, we have:
3x + (2x + 10) = 160
Combining like terms, we get:
5x + 10 = 160
Subtracting 10 from both sides, we have:
5x = 150
Dividing both sides by 5, we get:
x = 30
Now that we know the value of x, we can substitute it back into the expressions for the measures of the angles:
m<1 = 3x = 3(30) = 90 degrees
m<2 = 2x + 10 = 2(30) + 10 = 70 degrees
Therefore, the measures of the two unknown angles are 90 degrees and 70 degrees.