Answer:
The measure of ∠ KOJ = 53°
Step-by-step explanation:
Vertically Opposite Angles:
When two line intersect each other two pair angles are formed then angle opposite to each other are equal.
Vertically opposite angles are equal.
∴ m ∠ KOJ = m ∠ LOM
[tex](4x+5) = (2x+29)\\4x-2x=29-5\\2x=24\\x=\frac{24}{2}\\ x= 12\\[/tex]
substituting x in m ∠ KOJ we get
m ∠ KOJ = ( 4x + 5)
= 4 × 12 + 5
= 48 + 5
= 53°
∴ m ∠ KOJ = 53°
