Find the value of x if mArc ADC = (4x + 4)° and mAngle ABC= 150°.
A. 74
B. 296
C. 300
D. 73.5

(See Attachment!)

Question

Find the value of x if mArc ADC = (4x + 4)° and mAngle ABC= 150°.
	A.	74
	B.	296
	C.	300
	D.	73.5

(See Attachment!)

anonymous · Answer

attachment

raden · Answer

hint : m<ADC + m<ABC = 180 deg

raden · Answer

it means :
4x+4+150=180
solve for x

anonymous · Answer

@RadEn I got 6.5.

raden · Answer

yes, u are right

anonymous · Answer

@RadEn But that's not an option.

raden · Answer

hmmm,.. i think there is something wrong with ur question

anonymous · Answer

@RadEn That is how it is shown.

raden · Answer

actually, i always wrong to reading the question.. i though the measure of ADC, but exactly it is the measure or arc ADC. sorry for that, my bad.
so, i want to correct it again :
The measure of an arc is twice the measure of the inscribed angle. it means, mArc ADC = 2 x 150 or
4x+4 = 2 x 150
4x+4 = 300
4x = 300 - 4
4x = 296
x = 296/4 = 74