Question

Algebra KPL and LJPL are a linear pair, m_ KPL = 2x + 24, and mLJPL = 4x + 36. What are the measures of ZKPL and LJPL? (2x + 24) (4x + 36) к P

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Answer 1

• 64° = ∠KPL
• 116° = ∠JPL

Explanation:

The sum of the measures of a linear pair of angles is 180°.

(2x+24) +(4x+36) = 180

6x = 120 . . . . . . subtract 60, collect terms

x = 20

(2(20) +24)° = 64° = ∠KPL

(4(20) +36)° = 116° = ∠JPL