In the diagram, what is the value of x?

A

Step-by-step explanation:

82° + X = 180° (angles on a straight line)

180° - 82° = 98°

A. 98°

Step-by-step explanation:

x+82° = 180° (sum of angles on a straight line)

x= 180°- 82°

x= 98°

Part A:

Triangles DEG and DGF are similar

Part B:

There's a theorem using a Right Triangle that state: if the altitude is drawn to the hypotenuse of a right triangle (we have segment DG), then the two triangles formed (Triangle DEG and DGF) are similar to que original triangle (Triangle DEF) and to each other.

Hence, triangles DEG and DGF are similar.

Part C:

If EG = 2 and EF = 8, find the length of segment ED

EF is opposite to 90º

ED is adjacent to 90º

We can't calculate using tan once tan 90º is undefined.

Using proportion of similar triangles we have

It is because