Let's denote the measure of angle 1 as 3x and the measure of angle 2 as (2x + 10).
According to the given information, the sum of these two adjacent angles is 160°.
Therefore, we can write the equation: 3x + (2x + 10) = 160.
Combining like terms, we get: 5x + 10 = 160.
Subtracting 10 from both sides, we obtain: 5x = 150.
Dividing both sides by 5, we have: x = 30.
Now we can substitute the value of x back into the expressions for the measures of angle 1 and angle 2 to find their actual measurements.
Angle 1 = 3x = 3(30) = 90°.
Angle 2 = 2x + 10 = 2(30) + 10 = 70°.
Therefore, angle 1 measures 90° and angle 2 measures 70°.
Two adjacent angles form a resulting angle with measure 160°. m<1 = 3x°
and mL2 = (2x + 10) °
. Solve for x. What are
the two unknown angles' measurements?
1 answer