progenyvbc
progenyvbc progenyvbc
  • 10-07-2019
  • Mathematics
contestada

Find the measure of ∠ECB.

a) 25
b) 96
c) 118
d) 146

Find the measure of ECB a 25 b 96 c 118 d 146 class=

Respuesta :

calculista
calculista calculista
  • 20-07-2019

Answer:

Option A. ∠ECB=25°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

∠ECB=(1/2)[arc DB-arc EB]

substitute the given values

(x+10)°=(1/2)[146°-(6x+6)°]

solve for x

2x+20=140-6x

2x+6x=140-20

8x=120

x=15

Find the measure of angle ECB

∠ECB=x+10=15+10=25°

Answer Link
malaakr9910 malaakr9910
  • 11-11-2020

Answer:

25

Step-by-step explanation:

Answer Link

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