Answer:
Step-by-step explanation:
<u>Given</u>
- m∠ABC = x°
- m∠BCD = 25°
- m∠CDE = 55°
- m∠DEF = 3x°
Add two more parallel lines passing through points C and D.
Consider alternate interior angles formed by the four parallel lines.
<u>The angles between the two middle lines are equal to:</u>
- m∠BCD - m∠ABC = m∠CDE - m∠DEF
<u>Substitute values and solve for x:</u>
- 25 - x = 55 - 3x
- 3x - x = 55 - 25
- 2x = 30
- x = 15
m∠ABC = 15°
Answer:
12(3y+2x)
Step-by-step explanation:
In this question, we are asked to give an expression that represents the total cost of shorts for the players.
He is ordering 2 pairs of short and 3 shirts. Hence, per player, he would be spending the following:
2 pairs of shorts at x dollars each. Cost here is just $2x
3 shirts at y per one. Cost is $3y
Per player he is spending a total of 3y + 2x
Now, there are people to cater for. The total amount to spend will now be 12(3y + 2z )
The total measure of the interior angles of each figure will be:
180 (n-2) = 180 (4 - 2) = 360
Now add all those angles and set them equal to 360.
41 + 133 + 86 + x = 360
x is the unknown angle.
260 + x = 360
x = 100
The missing angle that is Not labeled in any of the figure is 100°
Hope this helps :)
All angles are the same in congruent triangle.
