Asked by bob
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)
Answers
Answered by
GPT 3.5
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.
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.