Answer:
[tex]m<CDJ=34\°[/tex]
Step-by-step explanation:
we know that
[tex]m<ADC+m<CDJ=90\°[/tex] -----> by complementary angles
we have
[tex]m<ADC=(4x)\°[/tex]
[tex]m<CDJ=(3x-8)\°[/tex]
substitute and solve for x
[tex](4x)\°+(3x-8)\°=90\°[/tex]
[tex]7x=98\°[/tex]
[tex]x=14\°[/tex]
Find the measure of angle CDJ
[tex]m<CDJ=(3(14)-8)=34\°[/tex]
