asked 38.7k views
1 vote
A convex pentagon has interior angles that measure 90°, 100°, 110°, and 120°. What is the measure of the fifth interior angle?

asked
User Nick To
by
8.1k points

2 Answers

3 votes

Answer:

120, The answer is 120

Explanation:

Determine the measure of the interior angle at vertex C.

A. 120

B. 180

C. 90

D. 200

answered
User Priyanth
by
8.7k points
3 votes
The sum of the interior angles of a pentagon is 540 degrees.

Let x be the measure of the fifth interior angle.

We can set up an equation to solve for x:

90° + 100° + 110° + 120° + x = 540°

Simplifying the equation:

x = 540° - 420°

x = 120°

Therefore, the measure of the fifth interior angle is 120 degrees.
answered
User PieCot
by
8.8k points
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