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

1 answer

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.