An obtuse triangle is a triangle that has an angle greater than 90 degrees, so 1. One angle is greater than 90 degrees is correct.
m∠FDE = 52°
Solution:
Given data:
DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠ABF + m∠CBF = 180°
116° + m∠CBF = 180°
m∠CBF = 64°
If CD || BE, then CD || BF.
Hence CD || BE and BE || FD.
Therefore BFCD is a parallelogam.
<em>In parallelogram, Adjacent angles form a linear pair.</em>
m∠CBF + m∠BFD = 180°
64° + m∠BFD = 180°
m∠BFD = 116°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠BFD + m∠DFE = 180°
116° + m∠DFE = 180°
m∠DFE = 64°
we know that DE ≅ DF.
<em>In triangle, angles opposite to equal sides are equal.</em>
m∠DFE = m∠DEF
m∠DEF = 64°
<em>sum of all the angles of a triangle = 180°</em>
m∠DFE + m∠DEF + m∠FDE = 180°
64° + 64° + m∠FDE = 180°
m∠FDE = 52°
Answer: Fair Use- number 3
Step-by-step explanation:
Note: <em>It seems you mean a piece of string is 3.5 long. So, I am assuming that a piece of string is 3.5 cm long.</em>
Answer:
140 cm of the original piece is left after Joe cuts three pieces.
Step-by-step explanation:
Given the piece of string
As we know that
so the length of a piece of string = 350 cm
As joe cuts three pieces from it, and each 70 cm long.
so the total length of three pieces which were
cut by joe = 70cm + 70cm + 70cm = 210 cm
So, subtracting the total length of the three pieces that were cut from the total length of the string:
350 cm - 210 cm = 140 cm
Therefore, 140 cm of the original piece is left after Joe cuts three pieces from it.
Alternate means it will be across and on the opposite side, there for the alternate interior angle for 2 would be the same number as the function you're solving.
For example: if you're going to find the alternate interior of 17x+9, it will be 17x+9, the angle on the lower right hand side of the top parallel line.
