Two adjacent angels from a resulting angel with measure 160 . M<1=3x and m<2=(2+10). Solve for x what are two unknown angels measurements
We know that the sum of the measures of adjacent angles is equal to the measure of the resulting angle. So, m<1 + m<2 = 160.
Given that m<1 = 3x and m<2 = 2 + 10, we can substitute these values into the equation:
3x + 2 + 10 = 160
Combining like terms, we get:
3x + 12 = 160
Subtracting 12 from both sides:
3x = 148
Dividing both sides by 3:
x = 148/3
The value of x is 49.33.
Now we can find the measurements of the two unknown angel angles:
m<1 = 3x = 3 * 49.33 = 147.99 (approximately 148 degrees)
m<2 = 2 + 10 = 12 degrees
Therefore, the two unknown angel measurements are approximately 148 degrees and 12 degrees.