In the figure, m∥n. Given that m∠3 =(4x−7)° and m∠5 =(6x−81)°, what is the measure of ∠8?

m∠8 = 39°

Step-by-step explanation:

Given:

m∠3 = (4x−7)°

m∠5 = (6x−81)°

Required:

m∠8?

Solution:

First, find the value of x.

Since, line m is parallel to line n, therefore,

m∠3 = m∠5 (alternate interior angles are congruent)

(substitution)

Collect like terms

Divide both sides by -2

Find m∠8:

m∠8 + m∠5 = 180° (linear pair)

m∠8 + (6x - 81)° = 180° (substitution)

Plug in the value of x

m∠8 + (6(37) - 81)° = 180°

m∠8 + (222 - 81)° = 180°

m∠8 + 141° = 180°

Subtract 141 from both sides

m∠8 = 180° - 141°

m∠8 = 39°

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.