Question

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Answer 1

The measure of ∠ KOJ = 53°

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=(24)/(2)\\ x= 12\\`

substituting x in m ∠ KOJ we get

m ∠ KOJ = ( 4x + 5)

= 4 × 12 + 5

= 48 + 5

= 53°

∴ m ∠ KOJ = 53°