Question

Given:

BC⊥AC
m∠BAC = 32°

Use the given information to determine m∠CDE.

32°
58°
68°
90°

Answer 1

Answer: 32°

Explanation:

m∠BAC = m∠CDE, therefore m∠CDE = 32°

Answer 2

Option B, 58°

Explanation:

In the given figure AB ║ CD and BC ║ DE ( given )

Since BC ║ DE and BC ⊥ AC

So DE will also be perpendicular to CE

m ∠ BAC = 32° [given]

Since AB ║ CD and line AE is transverse

Then ∠BAC ≅ ∠DCE ≅ 32°

Now in ΔDEC.

∠DCE + ∠CED + ∠EDC = 180°

32° + 90° + ∠EDC = 180°

122° + ∠EDC = 180°

∠EDC = 180 -122

= 58°

Option B, 58° is the answer.