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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°.