Question

If ||M and M6 = 4X - 15 and m7 = x + 30 then m 6 =​

Answer 1

Answer:

15

Step-by-step explanation:

∠6 and ∠7 are Alternate Interior Angles.

The lines l and m are parallel, therefore ∠6 and ∠7 are congruent.

m∠6 = m∠7 → 4x - 15 = x + 30        add 15 to both sides

4x = x + 45          subract x from both sides

3x = 45            divide both sides by 3

x = 15

Answer 2

Answer:

$\angle 6 =45^{\circ}$

Step-by-step explanation:

We are given that l || m

$\angle 6 = 4x-15$

$\angle 7 = x+30$

Since l || m

So, $\angle 6 = \angle 7$ (Alternate interior angles are equal )

So, $4x-15 = x+30$

$3x= 45$

$x= 15$

$\angle 6 = 4x-15=4(15)-15 = 45^{\circ}$

So, $\angle 6 =45^{\circ}$