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Mathematics

2 answers:

Ilia_Sergeevich [38]3 years ago

8 0

Answer:

k = 13

Step-by-step explanation:

1. A straight angle is equal to 180 degrees, and a right angle is 90 degrees. With this information and the angles of (4k-7) and (3k+6), we can build an equation of:

$4k-7+90+3k+6=180$

2. (Solving)

Step 1: Combine like terms.

$4k - 7 + 90 + 3k + 6 = 180$
$(4k+3k) + (-7+90+6) = 180$
$7k + 89 = 180$

Step 2: Subtract 89 from both sides.

$7k + 89 - 89 = 180 - 89$
$7k = 91$

Step 3: Divide both sides by 7.

$\frac{7k}{7} = \frac{91}{7}$
$k = 13$

Alik [6]3 years ago

6 0

Answer:

The answer most probably is 13.

Step-by-step explanation:

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