Question

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=

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since the two adjacent angles form a resulting angle of 160°, we can set up the equation:

m∠1 + m∠2 = 160°

Substituting the given values, we have:
3x + (2x + 10) = 160

Combining like terms:
5x + 10 = 160

Subtracting 10 from both sides:
5x = 150

Dividing both sides by 5:
x = 30

Therefore:
m∠1 = 3x = 3(30) = 90°
m∠2 = 2x + 10 = 2(30) + 10 = 70°

So, the measurements of the two unknown angles are:
m∠1 = 90°
m∠2 = 70°