In ΔJKL, \text{m}\angle J = (8x+6)^{\circ}m∠J=(8x+6)

, \text{m}\angle K = (2x+2)^{\circ}m∠K=(2x+2)

, and \text{m}\angle L = (4x+4)^{\circ}m∠L=(4x+4)

. Find \text{m}\angle L.m∠L.

Respuesta :

Answer:

The measure of angle L is 52

Step-by-step explanation:

Mathematically, in a triangle, the sum of the angles equal 180

So in this case;

J + K + L = 180

So therefore;

8x + 6 + 2x + 2 + 4x + 4 = 180

8x + 2x + 4x + 6 + 2 + 4 = 180

14x + 12 = 180

14x = 180 -12

14x = 168

x = 168/14

x = 12

So to get the measure of angel L, we simply substitute the value x in the equation for L

From the question, L = 4x + 4

So therefore L = 4(12) + 4 = 48 + 4 = 52

Answer:

52

Step-by-step explanation:

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