Question

solve for the value of k.
(2k+3)°
(4k-3)°
answer attempt 1 out of 3
k = blank submit answer

Explanation:

Step1: Identify angle sum

The angles \( (2k + 3)^\circ \), \( 90^\circ \), and \( (4k - 3)^\circ \) form a straight line, so their sum is \( 180^\circ \).
\( (2k + 3) + 90 + (4k - 3) = 180 \)

Step2: Simplify the equation

Combine like terms:
\( 2k + 3 + 90 + 4k - 3 = 180 \)
\( 6k + 90 = 180 \)

Step3: Solve for \( k \)

Subtract 90 from both sides:
\( 6k = 180 - 90 \)
\( 6k = 90 \)

Divide by 6:
\( k = \frac{90}{6} = 15 \)

Answer:

\( k = 15 \)