Two adjacent angles form a resulting angle with measure 160° . m∠1=3x° and m∠2=(2x+10)° . Solve for x . What are the two unknown angles’ measurements?(1 point)
To solve for x, we need to set up an equation using the given information.
We know that the sum of two adjacent angles is equal to the measure of the resulting angle.
So, 3x + (2x+10) = 160°
Combining like terms, we get 5x + 10 = 160.
Subtracting 10 from both sides, we have 5x = 150.
Dividing both sides by 5, we find x = 30.
Now we can substitute the value of x back into the original expressions for the angles to find their measurements.
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°
Therefore, the measurements of the two unknown angles are 90° and 70°.
x+4=_ and 3x+2=_
what is X