Question

A convex pentagon has interior angles that measure 60, 80, 120, and 140. What is the measure of the fifth interior angle?

Answer 1

Question -:

A convex pentagon has interior angles that measure 60, 80, 120, and 140. What is the measure of the fifth interior angle?

Explanation -:

Given -

• First interior angle = 60°
• Second interior angle = 80°
• Third interior angle = 120°
• Fourth interior angle = 140°

To Find -

• Fifth interior angle

Solution -

Let us assume fifth interior angle as x

We know,

Sum of interior angles of a pentagon is 540°

60° + 80° + 120° + 140° + x° = 540°

→ 400° + x° = 540°

→ x° = 540° - 400°

→ x = 140°

Fifth interior angle of a pentagon = 140°

`\rule{185pt}{7pt}`