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If line AC bisects angle BCD, what is the measure of angle A

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If line AC bisects angle BCD, what is the measure of angle A

by fskilnik@GMATH » Sun Mar 03, 2019 12:47 pm

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GMATH practice exercise (Quant Class 1)

If line AC bisects angle BCD, what is the measure of angle ADC?

Image

(A) 20 degrees
(B) 30 degrees
(C) 40 degrees
(D) 45 degrees
(E) 50 degrees

Answer: [spoiler]____(B)__[/spoiler]
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
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by fskilnik@GMATH » Sun Mar 03, 2019 1:53 pm
fskilnik@GMATH wrote:GMATH practice exercise (Quant Class 1)

If line AC bisects angle BCD, what is the measure of angle ADC?

Image

(A) 20 degrees
(B) 30 degrees
(C) 40 degrees
(D) 45 degrees
(E) 50 degrees
Image

$$? = x$$
$$\Delta BCE\,\,:\,\,\,20 + x = 180 - \left( {110 + 20} \right)\,\,\,\,\, \Rightarrow \,\,\,\,\,? = x = 30$$


The correct answer is (B).


We follow the notations and rationale taught in the GMATH method.

Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
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