Step-by-step explanation:
This can be a little brain bending but try to imagine rotating ∆DOG to the left once. The bottom side is now OGD. Now, the triangles will look similar. Here is the rule:
The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. An included angle is an angle formed by two given sides.
so, side CA is equal to side DO. Side CT is equal to side DG, and side AT is equal to side OG. The answers to the first column are:
CA=8.5m
AT=5m
DG=12m
Now, because the sides are equal, the angles are equal:
>T is the same as >G. =70°
>A is the same as>O = 57°
The angles of a triangle have to add up to 180°, so
70° + 57° = 127°
180°- 127° = 53°
So, angles D and C equal 53°.
How this helps.
