Answer:
60°
68°
76°
193°
Step-by-step explanation:
step 1
Calculate the sum of the interior angles in a pentagon
The formula to calculate the sum of the interior angles is equal to
S=(n-2)180°
where
n is the number of sides
In this problem
n=5 sides
substitute
S=(5-2)180°=540°
step 2
Find the value of x
(x-8)+(3x-11)+(x+8)+(x+(2x+7)=540°
(8x-4)=540°
8x=540°+4°
x=544°/8=68°
step 3
Find the measures of the internal angles of the pentagon
(68-8)°=60°
(3*68-11)=193°
(68+8)=76°
68°
(2*68+7)=143°
