In a convex pentagon, the measure of angle D is 132°.
<h3>What is convex pentagon?</h3>
If a planar polygon has all the line segments connecting any given pair of its points, it is said to be convex pentagon.
Properties of a Convex Polygon are-
- Any polygon whose inner angles are all smaller than 180 degrees is said to be convex.
- A concave polygon is one in which at least one of the angles is bigger than 180°.
- A convex polygon's diagonals are located inside the polygon.
- A polygon is considered convex if the line connecting every pair of its points lies entirely within it.
Calculation for the measure of angle D.
The sum of the interior angles = 540°
Let A, B , C = D - 40
And let E = D
So we have
A + B + C + D + E = 540
(D - 40) + (D - 40) + (D - 40) + D + D = 540
5D - 120 = 540
5D = 660
D = 660 / 5
D = 132°
Therefore, the measure of angle D is 132°.
To know more about the convex pentagon, here
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Answer:
3x ＞ 37
x ＞ 12.333
Thus, 13 and 15 satisfy
Step-by-step explanation:
hope this helps
Answer:
-7
Step-by-step explanation:
(7/8)(-16)(-7)(-1/4)
(7/8)(-1/4)(-16)(-7)
(-1/16)(112)
-7
Answer:
area = 24 yd²
Step-by-step explanation:
convert the dimensions into yards using the conversion
1 yard = 3 feet
24 feet = 
= 8 yards
9 feet = 
= 3 yards
area = length × width = 8 × 3 = 24 yd²
