Question

WILL MARK BRAINLIEST TO THE BEST ANSWERS. The interior angles of a pentagon measure x°, (2x)°, (2.5x)° , (x + 10)° , and (2x + 20)°. Determine the value of x. PLEASE SHOW ALL SOLUTIONS NESSICARY. THANK YOU.......

Answer 1

Answer:

• x = 60°

Step-by-step explanation:

Sum of interior angles of a regular polygon is:

• 180°(n-2)

Pentagon has 5 sides, so sum of angles is:

• 180°(5-2) = 180°*3 = 540°

For the given pentagon we have sum of angle measures as below, and solving for x:

• x + 2x + 2.5x + (x +10) + (2x + 20) = 540°
• 8.5x + 30° = 540°
• 8.5x = 510°
• x = 510°/8.5
• x = 60°

Answer 2

Answer:

x=60

Step-by-step explanation:

The sum of interior angles of a regular Pentagon is 540°

x+2x+2.5x+x+10+2x+20=540

8.5x=540-30

8.5x=510

x=510/8.5=60