93.0k views
5 votes
Find m:
m, 132°, 84°, 101°, 76°
O 91°
O 122°
O 147°
O 156°

Find m: m, 132°, 84°, 101°, 76° O 91° O 122° O 147° O 156°-example-1

2 Answers

4 votes

Answer:

m=147°

Explanation:

Sum of interior angles of an n-sided polygon = (n-2)×180°, where n is the number of sides.

Sum of interior angles = (5-2) × 180°

= 3 × 180°

= 540°

m = 540-132-84-101-76

= 147°

User Jbruni
by
8.7k points
3 votes
To find m, we can use the fact that the sum of the interior angles of a pentagon is equal to (5-2) × 180° = 540°.

m + 132° + 84° + 101° + 76° = 540°

Combining like terms:

m + 393° = 540°

Subtracting 393° from both sides:

m = 147°

Therefore, the answer is 147°.
User Mr Mixin
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories