Two adjacent angles, ∠1 and ∠2 , form a resulting angle with measure 135°. If m∠1=(2x)° and m∠2=(2x+7)°, what are the two unknown angle measures?(1 point) m∠1= °, m∠2=
m∠1 = 2x°
m∠2 = (2x + 7)°
Given that the resulting angle formed by ∠1 and ∠2 is 135°, we can write the equation:
m∠1 + m∠2 = 135°
Substituting the values of m∠1 and m∠2, we get:
2x + (2x + 7) = 135
Combining like terms, we have:
4x + 7 = 135
Subtracting 7 from both sides, we get:
4x = 128
Dividing both sides by 4, we have:
x = 32
Now, we can substitute the value of x back into the expressions for m∠1 and m∠2 to find their values:
m∠1 = 2x = 2(32) = 64°
m∠2 = 2x + 7 = 2(32) + 7 = 71°
So, the two unknown angle measures are:
m∠1 = 64°
m∠2 = 71°