Answer:
= 38°.
Explanation:
The three angles inside a triangle add up to 180°.
To determine the value of the unknown angle in a triangle when two angles are given, add them together and then subtract that from 180°.
To determine the value of two unknown angles of the same value, subtract the known angle from 180° and then divide by 2.
But in this example, none of the interior angles are given. To determine , we must first determine ∠OLM and ∠OML using the exterior angles ∠OLK and ∠OMN.
⠀⠀1. Subtract ∠OLK (134°) from 180°
180° - 134° = 46°, therefore ∠OLM = 46°.
⠀⠀2. Subtract ∠OMN (84°) from 180°
180° - 84° = 96°, therefore ∠OML = 96°.
⠀⠀3. Subtract ∠OLM (46°) + ∠OML (96°) from 180°
= 180° - (46° + 96°)
= 180° - 142°
= 38°