Question

Given m//n find the value of x and y (5x+1)° (6x-10)° (y°)

Answer 1

To find the value of x, use the vertical angle theorem.

Vertical angles are congruent.

Thus we have:

6x - 10 = 5x + 1

Solve for x.

6x - 10 = 5x + 1

Add 10 to both sides:

6x - 10 + 10 = 5x + 1 + 10

6x = 5x + 11

Subtract 5x from both sides:

6x - 5x = 5x - 5x + 11

x = 11

To find the value of y, use corresponding angles thoerem.

When two parallel lines are crossed by a transversal, the angles in matching corners are correponding angles.

Corresponding angles are congruent.

Thus, we have:

y = 6x - 10

Substitiute x for 11:

y = 6(11) - 10

y = 66 - 10

y = 56°

ANSWER:

x = 11, y = 56°