A) Two adjacent angles, <1 and <2, form a resulting angle with measure 135°
'If m <1 = (2x) ° and
mL2 = (2x+7) °
, What are the two unknown angle measures? (1 point)
m<1=_ ',m/2 = L•
Given that <1 = (2x)° and <2 = (2x+7)°, we can set up the equation:
(2x) + (2x+7) = 135
Combining like terms, we get:
4x + 7 = 135
Subtracting 7 from both sides, we get:
4x = 128
Dividing both sides by 4, we get:
x = 32
Using this value of x, we can find the measures of the two unknown angles:
m<1 = 2x = 2(32) = 64°
m<2 = 2x+7 = 2(32)+7 = 71°
Therefore, the two unknown angle measures are m<1 = 64° and m<2 = 71°.