Answer:
The m∠HIK is 42°
Step-by-step explanation:
- When two lines intersected at a point, then they formed pairs of linear angles
- Linear angles are supplementary, which means the sum of their measures is 180°
In the given figure
∵ Line HJ intersects line KD at the point I
→ By using the facts above
∴ ∠HIF and ∠HIK formed a pair of linear angles
∴ ∠HIF and ∠HIK are Supplementary
→ That means the sum of their measures is 180°
∴ m∠HIF + m∠HIK = 180°
∵ m∠HIF = 138°
→ Substitute it in the equation above
∴ 138° + m∠HIK = 180°
→ Subtract 138 from both sides
∴ 138° - 138° + m∠HIK = 180° -138°
∴ m∠HIK = 42°
∴ The m∠HIK = 42°
