To solve for x, we can set up an equation based on the given information.
We know that the sum of angles 1 and 2 equals the resulting angle, which is 160 degrees:
angle 1 + angle 2 = 160
Substituting the given expressions for angle 1 and angle 2:
3x + 2x + 10 = 160
Combining like terms:
5x + 10 = 160
Then, subtracting 10 from both sides:
5x = 150
Finally, dividing both sides by 5:
x = 30
To find the measurements of the two unknown angles, we can substitute x back into our expressions for angle 1 and angle 2:
angle 1 = 3x = 3(30) = 90 degrees
angle 2 = 2x + 10 = 2(30) + 10 = 70 degrees
So, the two unknown angles measure 90 degrees and 70 degrees.
two adjacent angles form a resulting angle with measure 160 degrees angle 1 =3x
angle 2 = 2x +10. solve for x. what are the 2 unknown angles measurements
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