The angles marked in the figure above are measured in degrees. Find x?

Posted by: 173 views

QuizTablet Community! A. 20°

B. 36°

C. 15°

D. 30°

D

DETAILS…

The sum of all the external angles of any polygon with any number of sides = 360°

Applying this, we have:

2x + x + 5x + 3x + x = 360

Solving for x, we have:

(2 + 1 + 5 + 3 + 1)x = 360

12x = 360

x = 360/12 = 30°

Now for the right answer to the above question:

1. Option A is incorrect.
2. Option B is incorrect.
3. C is not correct.
4. D is the correct answer. 360/12 = 30°

KEY-POINTS…

• Sum of all the external angles of a regular polygon = 360°
• Sum of all the internal angles of a regular polygon = 180(n – 2), where n = number of sides.
• If you love our answers, you can login to comment and say hi to us at the comment section…
RELATED!  The angles of a regular polygon are given by 2x...

/ culled from 2020 JAMB-UTME mathematics past question 12 /

The angles marked in the figure above are measured in degrees. Find x? » QuizTablet MATHS SHORT-CLASS!!!

Course Provider: Organization

Course Provider Name: N.D Sammy

Course Provider URL: QuizTablet.com

Editor's Rating:
8.6

1. 0 Votes 0 Votes 0 Votes