Question

In △ MNO, ∠N measures 55 and ∠ O measures 45. If MD bisects ∠ NMo and ME is perpendicular to NO, then measure of ∠ DME is:

Answer 1

Answer:

∠DME = 5°

Step-by-step explanation:

In △ MNO, ∠N measures 55 and ∠ O measures 45

in △ MNO

∠M + ∠N +  ∠ O = 180°

=> ∠M + 55° +  45° = 180

=> ∠M = 80°

If MD bisects ∠ NMo

=> ∠NMD = (1/2)80° = 40°

ME ⊥ NO

=> ∠NME = 180° - 55° - 90°

=> ∠NME = 35°

∠DME = ∠NMD - ∠NME

=> ∠DME = 40° - 35°

=> ∠DME = 5°