Answer:
m∠A = 115° and m∠C = 50°
Step-by-step explanation:
We know: the sum of the measures of triangle angles is 180°.
Therefore we have the equation:
[tex](4x-13)+15+(x+18)=180[/tex] combine like terms
[tex](4x+x)+(-13+15+18)=180[/tex]
[tex]5x+20=180[/tex] subtract 20 from both sides
[tex]5x=160[/tex] divide both sides by 5
[tex]x=32[/tex]
[tex]m\angle A=(4x-13)^o\\\\m\angle C=(x+18)^o[/tex]
Substitute:
[tex]m\angle A=(4\cdot32-13)^o=(128-13)^o=115^o\\\\m\angle C=(32+18)^o=50^o[/tex]
