what is the value of d?

what is the value of d?
Answer
Explanation:
Step1: Recall angle - sum property of a right - angled system
The sum of angles around a point is 360°. In a right - angled system (assuming the vertical and horizontal lines are perpendicular), the sum of the given angles and (d) should be 90°.
Step2: Calculate the sum of the given angles
The sum of the two given angles is (33.7^{\circ}+55^{\circ}=88.7^{\circ}).
Step3: Find the value of (d)
We know that (d + 88.7^{\circ}=90^{\circ}), so (d=90^{\circ}-88.7^{\circ}=1.3^{\circ}).
Answer:
(1.3^{\circ})