Question

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Answer 1

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

$(4x+5) = (2x+29)\\4x-2x=29-5\\2x=24\\x=\frac{24}{2}\\ x= 12$

substituting x in m ∠ KOJ we get

m ∠ KOJ = ( 4x + 5)

               = 4 × 12 + 5

               = 48 + 5

               = 53°

∴ m ∠ KOJ = 53°