Answer :
Given:
m∠JKL = (2x + 4)º
m∠LKM = (x + 26)º
Given that angles JKl and LKM are supplememtary, let's find the measure of angle JKL.
Supplementary angles are angles that sum up to 180 degrees.
Since both angles are supplementary, we have the equation:
m∠JKL + m∠LKM = 180
(2x + 4) + (x + 26) = 180
Let's solve for x.
Remove the parentheses:
2x + 4 + x + 26 = 180
Combine like terms:
2x + x + 4 + 26 = 180
3x + 30 = 180
Subtract 30 from both sides:
3x + 30 - 30 = 180 - 30
3x = 150
Divide both sides by 3:
[tex]\begin{gathered} \frac{3x}{3}=\frac{150}{3} \\ \\ x=50 \end{gathered}[/tex]To find m∠JKL, substitute 50 for x in (2x + 4):
m∠JKL = (2x + 4)°
m∠JKL = (2(50) + 4)°
m∠JKL = (100 + 4)°
m∠JKL = 104°
Therefore, the measure of angle JKL is 104 degrees
ANSWER:
C. 104°