In triangle XYZ, m∠Z = (5m − 16)° and the exterior angle to ∠Z measures (3m + 12)°. Determine the value of m.

m = 3
m = 10.8
m = 18
m = 23

Question

In triangle XYZ, m∠Z = (5m − 16)° and the exterior angle to ∠Z measures (3m + 12)°. Determine the value of m.    m = 3   m = 10.8   m = 18   m = 23

sori · Answer

I think the answer is  m=23

Delwyn · Answer

Answer:   m=23   Step-by-step explanation:    (5m-16)+(3m+12)=180      s1 the two angles will            equal 180° so add them     5m-16+3m+12=180          s2- distribute     8m-4=180                        s3- combine like terms    8m-4=180                        s4- subtract 4 from both        -4    -4                                         sides    8m=180                           s5- divide  ÷8     ÷8     m=23                               s6- answer

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