Question

what is the value of y?
y =
find the following angle measures
m∠jkm = °
m∠mkl = °
(10y + 6)° (8y − 6)°

Explanation:

Step1: Set up the equation for a straight line

Since \( \angle JKM \) and \( \angle MKL \) form a straight line, their sum is \( 180^\circ \). So, \( (10y + 6) + (8y - 6) = 180 \).

Step2: Simplify the equation

Combine like terms: \( 10y + 8y + 6 - 6 = 180 \), which simplifies to \( 18y = 180 \).

Step3: Solve for \( y \)

Divide both sides by 18: \( y = \frac{180}{18} = 10 \).

Step4: Find \( m\angle JKM \)

Substitute \( y = 10 \) into \( 10y + 6 \): \( 10(10) + 6 = 100 + 6 = 106^\circ \).

Step5: Find \( m\angle MKL \)

Substitute \( y = 10 \) into \( 8y - 6 \): \( 8(10) - 6 = 80 - 6 = 74^\circ \).

Answer:

\( y = 10 \)
\( m\angle JKM = 106^\circ \)
\( m\angle MKL = 74^\circ \)