If the measure of
∠
D
A
B
=
66
∘
,
∠
C
A
B
=
x
, and
∠
D
A
C
=
x
−
16
, find the measure of
∠
C
A
B
sorry - all those newlines are just annoying.
Type your question on one or two lines, so we can read it.
To find the measure of ∠CAB, we can use the fact that the sum of the angles in a triangle is equal to 180 degrees.
We have two angles given: ∠DAB = 66 degrees and ∠DAC = x - 16 degrees.
To find the measure of ∠CAB, we can subtract the two given angles from 180 degrees:
∠CAB = 180 - ∠DAB - ∠DAC
Substituting the given values:
∠CAB = 180 - 66 - (x - 16)
Simplifying the equation:
∠CAB = 180 - 66 - x + 16
∠CAB = 130 - x
Therefore, the measure of ∠CAB is 130 degrees minus x degrees.