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eatheng4441
09.07.2019 •
Mathematics
Find m def
a. 30
b. 60
c. 90
d.120
Solved
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Ответ:
The little red lines on each side of the triangle mean that the sides are all equal.
A triangle that has all 3 sides the same is an equilateral triangle.
Because all the sides are identical all 3 inside angles are also identical.
180 / 3 = 60 degrees
The outside angle which is DEF would equal 180 - the inside angle.
DEF = 180 - 60 = 120.
The answer is D.
Ответ:
120°
Step-by-step explanation:
It is an equilateral triangle, so all its sides and internal angles measure the same.
The sum of the internal angles of a triangle must be 180°, so each internal angle measures 60°.
The DEF angle is an external angle of that triangle, we can use the next property:
An external angle of a triangle is the sum of the internal angles opposed to it.
The two opposite angles to DEF are DCE and CDE:
DEF = DCE + CDE = 60 ° + 60 ° = 120°
Another way to find this same result is to notice that DEF + DEC total 180° since they form a straight line, and we know that DEC measures 60°
So:
DEF + DEC = 180 °
DEF = 180 ° - DEC
DEF = 180 ° -60 °
DEF = 120 °
Ответ:
396cm
Step-by-step explanation:
55 x 40 = 2,200
2,200 x 180 = 396,000
396,000 / 1000 = 396
396cm
(I don't know for sure).