Question

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=

°

Answer 1

m∠1 = 64°, m∠2 = 71°

Work: 2x + (2x + 7) = 135 → 4x + 7 = 135 → 4x = 128 → x = 32. Then 2x = 64 and 2x + 7 = 71.