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Roman55 [17]
4 years ago
9

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

Mathematics
2 answers:
TEA [102]4 years ago
8 0

Answer:

<h2>15</h2>

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        <em>add 15 to both sides</em>

4x = x + 45          <em>subract x from both sides</em>

3x = 45            <em>divide both sides by 3</em>

x = 15

PilotLPTM [1.2K]4 years ago
8 0

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}

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