Answer:
m∠6 = 54°
Hope this helps!
Step-by-step explanation:
( 13x+9 ) and angle 4 are congruent meaning the same. That means angles 5 and 8 are also congruent to ( 13x + 9 ).
Angle 5 or angle 8 are Supplementary to angle ( 5x + 9 ) so a Supplementary angle is 180° and we need to find out x. ( 13x + 9 ) + ( 5x + 9 ) = 18x + 18.
Because Supplementary angles equal 180°, 18x + 18 = 180
18x = 162 x = 162/18 x = 9
Because ∠6 is congruent to angle ( 5x + 9 ), ∠6 = ( 5(9) + 9 )
∠6 = 45 + 9 ∠6 = 54
