1 Answer

Pavan Chandaka · Answer 1 · 2021-09-27T10:34:35+0000

Answer:

Explanation:

Statements Reasons.

1.
$m \angle KLP + m \angle PLM = 180\°$ 1. By supplementary angles.

2.
$3x+ m \angle PLM = 180\°$ 2. Substitution.

3.
$m\angle PLM = 180-3x$ 3. Algebra.

4.
$m \angle PMN = m \angle P + m \angle PLM$ 4. By exterior angle theorem.

5.
2x+72=x+180-3x 5. Substitution.

6. 6. Algebra.

$2x+3x-x=180-72\\4x=108\\x=(108)/(2) =27$

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