Question

Find the measure of each angle in Triangle ABC.
m m m

Answer 1

m<a=139°

m<b=23°

m<c=18°

Explanation:

interior angles of a triangle =180°

40x -21+31-2x+x+14=180

39x+24=180

39x=180-24.

39x=156

39x/39=156/39

x=4.

m<a= (40x-21)

= (40(4)- 21)

=(160-21)

=139°

m<b =(31-2x)

=(31- 2(4))

= (31-8)

= 23°

m<c=(x+14)

= (4+14)

=18°