Two adjacent angles form a resulting angle with measure 160 Degrees. M-angle-1=3x degrees and M-angle-2= (2x + 10) Degrees. solve for x. What are the two unknown angles' measurements? (1 point)

Answer 1

The sum of the measures of the two adjacent angles is 160 degrees, so we can set up the equation:

M-angle-1 + M-angle-2 = 160

Substituting the given expressions for the measures:

(3x) + (2x + 10) = 160

Combining like terms:

5x + 10 = 160

Subtracting 10 from both sides:

5x = 150

Dividing both sides by 5:

x = 30

Now we can substitute x = 30 back into the expressions for the measures to find the two unknown angles' measurements:

M-angle-1 = 3x = 3(30) = 90 degrees

M-angle-2 = 2x + 10 = 2(30) + 10 = 70 degrees

Therefore, the two unknown angles' measurements are 90 degrees and 70 degrees.