Short Answer
Note: Your teacher will grade your response to ensure you receive proper credit for your answers.
Find the values of x, y, and z. The diagram is not to scale.
Triangle A B C is drawn with point D on side B C. A segment is drawn from A to D. Angle A C D measures 63 degrees. Angle C A D measures 36 degrees. Angle D A B measures 13 degrees. Angle C D A measures x degrees. Angle C B A measures y degrees. Angle A D B measures z degrees.
Given the information provided, we can find the values of x, y, and z.
From the given angles, we know:
Angle ACD = 63 degrees
Angle CAD = 36 degrees
Angle DAB = 13 degrees
Since the sum of angles in a triangle is 180 degrees, we can find angle CDA:
x = 180 - (63 + 36)
x = 81 degrees
Similarly, we can find angle CBA:
y = 180 - (63 + 13)
y = 104 degrees
Finally, we can find angle ADB:
z = 180 - (13 + 104)
z = 63 degrees
Therefore, x = 81 degrees, y = 104 degrees, and z = 63 degrees.