Answer:
a. 75°
Step-by-step explanation:
[tex] m\angle A = m\angle C... (given) [/tex]
[tex] (2x+15)\degree = (3x - 15)\degree [/tex]
[tex] 2x+15 = 3x - 15 [/tex]
[tex] 2x - 3x=-15-15[/tex]
[tex] - x=-30[/tex]
[tex] x=30[/tex]
[tex]\because m\angle A = (2x+15)\degree [/tex]
[tex]\therefore m\angle A = (2\times 30+15)\degree [/tex]
[tex]\therefore m\angle A = (60+15)\degree [/tex]
[tex]\therefore m\angle A = 75\degree [/tex]
