Given: m
el
=(2x)°, m
lg
=(3x)°
m
gf
=(4x−8)°, m
fe
=(x−12)°
find: m∠lte

m∠LTE = 110°

Step-by-step explanation:

We know that sum of all arcs of a circle is 360°

Therefore

Now we put the values of each arc

10x = 360 + 20

10x = 380

x = 38

Now from the theorem of intersecting chords in a circle

Measure of ∠LTE =

m(arc EL) = 2x = 2×38 = 76°

m(arc GF) = (4x - 8) = (4×38 - 8) = (152 - 8) = 144°

Now we can get the measure of ∠LTE

m∠LTE =

Therefore m∠LTE = 110° is the answer.

42.4

step-by-step explanation:

convert to decimal