PLEASE HELP Charlotte is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. Line m is parallel to line n. Which is a true statement she could write?
A) Angle PRQ measures 35°.
B) Angle PRQ measures 75°.
C) Angle PQR measures 70°.
D) Angle PRQ measures 70°.

Option B is true.

Step-by-step explanation:

Since two line m and line n are parallel and PR is a transverse,

angle PRQ and  angle RPN will be interior alternate angles.

Therefore, ∠PRQ = 75°

Option A. Angle PRQ measures 35°

False

Option B. Angle PRQ measures 75°

True

Option C. Angle PQR measures 70°.

In triangle PQR,

m∠PQR + m∠PRQ + m∠QPR = 180°

m∠PQR + 75° + 70° = 180°

m∠PQR = 180-145 = 35°

False

Option D. Angle PRQ measures 70°.

False

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )