Answer:
Angle CAB= 80 Degrees
Step-by-step explanation:
The angle A can be found by taking the sum of angles in the 2 separate triangles and adding them together.
We know that a straight line is 180 degrees. The angle ADC is given to be 90 degrees, therefore angle BDA is also 90 degrees because 180-90=90 degree (congruent angle). (both the small triangles are right angle triangles) This gives us 2 angle measurements in each triangle. This means for both triangkes we can add the 2 angle measurements to find the sum of both andlges and subtract that number from 180 because 180 is the sum of all angles in a triangle.
For Triangle BDA we add angle B (40 degrees) and angle D (90 degrees)
Angle= 180- (40+90)
Angle= 180-130
Angle= 50 degrees
For triangle DAC we add angle D(90 degrees) and angle C(60 degrees)
Angle= 180- (90+60)
Angle = 180-150
Angle= 30 degrees
To find the angle measurement for angle CAB we add the answer from both the calculations as shown above (add 50 and 30)
Angle CAB= 50+30
Angle CAB= 80 degrees
Therefore angle CAB= 80 degrees
