What is the value of the missing angle?
(Image is an inverted pentagon with 2 sides forming right angles at the base and 2 150 degrees angles below the apex)
A. 50°
B. 60°
C. 100°
D. 240°
the answer is 60 thanks a lot everyone
🙃
sorry nobody was able to help you my guy, but thx for the answer
To find the value of the missing angle in the given image, we need to use the fact that the sum of angles in a polygon is equal to (n-2) * 180 degrees, where n is the number of sides of the polygon.
In this case, we have a pentagon (5 sides), so the sum of its angles is (5-2) * 180 = 3 * 180 = 540 degrees.
We can see that there are already two right angles at the base of the pentagon, which have a total measure of 90 degrees each (2 * 90 = 180 degrees).
There are also two 150-degree angles below the apex of the pentagon. So, the total measure of these two angles is 2 * 150 = 300 degrees.
To find the missing angle, we subtract the sum of the known angles from the total sum of angles:
Missing angle = Total sum of angles - Sum of known angles
Missing angle = 540 degrees - (180 degrees + 300 degrees)
Missing angle = 540 degrees - 480 degrees
Missing angle = 60 degrees
Therefore, the value of the missing angle is 60°.
Answer: B. 60°
i love how helpful everyone is
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