Question

What is the value of X

Answer 1

Answer:

B. 8

Step-by-step explanation:

The sum of all exterior angles of pentagon is equal to 360°. There are such exterior angles: 62°, 66°, 77°, 59°, (12x)°. Thus, the sum

$62^{\circ}+66^{\circ}+77^{\circ}+59^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\264^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\(12x)^{\circ}=360^{\circ}-264^{\circ},\\ \\(12x)^{\circ}=96^{\circ},\\ \\x^{\circ}=8^{\circ}.$