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)
m∠1 + m∠2 = 160°
3x° + (2x + 10)° = 160°
5x + 10 = 160
5x = 150
x = 30
To find the measurements of the two unknown angles:
m∠1 = 3x° = 3(30°) = 90°
m∠2 = 2x + 10° = 2(30°) + 10° = 60° + 10° = 70°
The two unknown angles’ measurements are 90° and 70°.