Three beams MO, MN and MK emerge from point m. find the NMK angle if the OMN angle = 85 ° the OMK angle = 37 °.

1) In order to find ∠NMK, you need to find the sum of the angles ∠NMO and ∠OMK:

∠NMK = ∠NMO + ∠OMK;

∠NMK = 85 ° + 37 °;

∠NMK = 122 °.

Answer: ∠NMK = 122 °.

2) In order to find ∠NMK, you need to find the difference between the angles ∠NMO and ∠KMO:

∠NMK = ∠NMO – ∠KMO;

∠NMK = 85 ° – 37 °;

∠NMK = 48 °.

Answer: ∠NMK = 48 °.