Question

What is the measure of angle BCD?
m∠BCD =___ degrees

Answer 1

140º

Explanation:

Got right on test

Answer 2

we know that

the sum of the measures of the exterior angles of a polygon is always
`360\°`

so

Find the external angle in C

`external\ angle (C)=360\°-(149\°+25\°+146\°)=40\°`

`external\ angle (C)+internal\ angle (BCD)=180\°` -----> by supplementary angles

`internal\ angle (BCD)=180\°-external\ angle (C)`

`internal\ angle (BCD)=180\°-40\°`

`internal\ angle (BCD)=140\°`

therefore

the answer is

`angle (BCD)=140\°`