contestada

take a look at the following figure if angle B measures 78°, and is the measure of BDC?


a. 204 degree

b. 156 degree

c. 39 degree

d. 78 degree

take a look at the following figure if angle B measures 78 and is the measure of BDCa 204 degreeb 156 degreec 39 degreed 78 degree class=

Respuesta :

calculista

Answer:

Option a. 204 degree

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The semi-inscribed angle is half that of the arc it comprises.

so

∠B=(1/2)[arc BC]

substitute

78°=(1/2)[arc BC]

arc BC=156°

Remember that

arc BC+arc BCD=360°

arc BCD=360°-156°=204°

Ver imagen calculista
Q&A Education