To find the degree measure of angle ZACD, we need to add up the measures of all the angles in the triangle ACD and then subtract this sum from 180° (since the angles in a triangle add up to 180°).
ZCAD = 76°
ZBCD = 47°
ZCBG = 140°
First, we find the measure of angle ACD:
ACD = ZCAD + ZBCD
ACD = 76° + 47°
ACD = 123°
Next, we find the measure of angle ZACD:
ZACD = 180° - (ACD + ZBCD)
ZACD = 180° - (123° + 47°)
ZACD = 180° - 170°
ZACD = 10°
Therefore, the degree measure of angle ZACD is 10°. This answer is not among the options provided in the choices, so there may have been a mistake in the calculations.
In the figure below, A, D, B, and G are collinear. If
ZCAD measures 76°, ZBCD measures 47°, and ZCBG
measures 140°, what is the degree measure of ZACD?
F. 12°
G. 14°
H. 17°
J. 36°
K. 43°
1 answer
1 answer