Question

If m∠2=(7x−11) and m∠4=(4x+4), what is m∠1?

a) 11x−15
b) 11x−7
c) 15x−11
d) 7x−11

Answer 1

(m∠1 = 7x - 11 = 7(17) - 11 = 108), which is not among the given options.

Step-by-step explanation:

In a typical scenario, ∠1, ∠2, ∠3, and ∠4 form a straight line, and ∠2 is supplementary to ∠4. This implies that the sum of ∠2 and ∠4 is equal to 180 degrees.

So, (m∠2 + m∠4 = 180):

((7x - 11) + (4x + 4) = 180).

Combine like terms:

(11x - 7 = 180).

Now, solve for x:

(11x = 187),

(x = 17).

Now that we know (x), we can find (m∠1):

(m∠1 = 7x - 11),

Substitute (x = 17):

(m∠1 = 7(17) - 11),

(m∠1 = 119 - 11),

(m∠1 = 108).

So, the correct answer is not among the provided options. There may be a typo or misunderstanding in the given choices. The correct value for (m∠1) is 108 degrees.