Answer:
m∠J = 150°
m∠K = 62°
m∠L = 52°
m∠M = 96°
Step-by-step explanation:
First find the value of x:
all angles in a quadrilateral add up to 360°.
(3x - 6) + (2x - 8) + (x + 10) + x = 360
add up all like values and solve:
(3x + 2x + x + x) + (-6 + -8 + 10) = 360
7x - 4 = 360
7x = 364 ⇒ x = 52°
Plug x into the individual equations:
m∠J = 3(52) - 6 = 150°
m∠K = 52 + 10 = 62°
m∠L = 52°
m∠M = 2(52) - 8 = 96°
Add up all the angles to check:
150 + 62 + 52 + 96 = 360
(۶ꈨຶꎁꈨຶ )۶ʸᵉᵃʰᵎ
