If m<1= x+ I and m<6= 2x + 2, what must m<5 be so the lines a and b are parallel?

m∠5 = x + 1

m∠5 = 60°

Solution:

Given data:

Line a and Line b are parallel lines.

The line that crosses both a and b is a transversal line.

m∠1 = x + 1 and m∠6 = 2x + 2.

If two parallel lines cut by a transversal, then their corresponding angles on the same side are congruent.

∠5 and ∠1 are corresponding angles.

⇒ m∠5 = m∠1

⇒ m∠5 = x + 1

Now, ∠5 and ∠6 forms a linear pair.

m∠5 + m∠6 = 180°

x + 1 + 2x + 2 = 180°

3x + 3 = 180°

Subtract 3 from both sides.

3x = 177°

Divide by 3 on both sides.

x = 59°

m∠5 = 59° + 1° = 60°

m∠5 = 60°

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

where is the picture

step-by-step explanation: