In triangle ABC, angle C is 122 degrees, AD is height, and DAB is 43 degrees. Find the CAB corner.

Consider a right-angled triangle ABD (AD – conditional height). In it, we know one of the two acute angles, we can find the second acute angle.
Angle ABD = 90 ° – Angle DAB = 90 ° – 43 ° = 47 °.
Consider a triangle ABC, given to us by condition. We know two angles in it, let’s find the third angle.
CAB angle = 180 ° – (ACB angle + ABD angle) = 180 ° – (122 ° + 47 °) = 180 ° – 169 ° = 11 °.
Answer: The degree measure of the CAB angle is 11 °.



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