I'm going to show you step by step. I posted 2 pictures of the work
Answer: 103 degrees
Step-by-step explanation:
**point M is the center point of triangle ABC since it intersects both bisectors of Angle A and B.
Angle AMB=Angle M
A/2=
58/2=29 ==> Angle bisector divide an angle by half.
B/2=
96/2=48
29+48+M=180 ==> AMB is a new triangle formed inside triangle ABC.
77+M=180
M=103 degrees
AMB=103 degrees
Explanation:
The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.
More formally, if V is the common vertex, and ...
- R is a point on one of the rays forming Angle 1
- S is a point on the ray that is the opposite of ray VR
- T is a point on the other ray forming Angle 1
- U is a point on the ray that is the opposite of ray VT
Then angle RVT and angle SVU are vertical angles.
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Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.
If the above conditions cannot be met, then the angles are not vertical angles.
Answer: Choice D
Explanation:
I'll use the point-slope form to get the following

You should find that plugging x = -4 into equation D will lead to y = 1 as a way to confirm the answer.
Answer:
CAD = 128
Step-by-step explanation:
CAD + CAB = DAB
We know that DAB is a straight line, so it equals 180 degrees
CAD + 52 = 180
Subtract 52 from each side
CAD +52-52 = 180-52
CAD = 128