Since it is 1/5 of original length (13cm)
13cm * 1/5 = 2.6 cm
Answer:
W and Y = 91. X and Z = 89
Step-by-step explanation:
Those two angles will add to 180.
5a - 21 + 3a + 25 = 8a + 4
8a + 4 = 180
8a = 176
176 / 8 = 22 = a
Plug in a for an angle.
3(22) + 25 = 91
180 - 91 = 89
Answer:
1/15
Step-by-step explanation:
Answer:
= 12
Step-by-step explanation:
The shape ABCDEF is an irregular polygon.
The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).
Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°
So to find the value of
, we need to add together all the interior angles and equal it to 720, then solve for
.
Before we do that, we need to determine angle F.
From inspection, we can see that angle F and 52° are a linear pair. We know that a linear pair of angles add up to 180°, so F + 52 = 180 ⇒ F = 180 - 52 = 128°
Therefore:
A + B + C + D + E + F = 720
(10
- 5) + 108 + (8
- 3) + (14
- 25) + 133 + 128 = 720
Collect like terms:
10
+ 8
+ 14
- 5 + 108 - 3 - 25 + 133 + 128 = 720
Combine like terms:
32
+ 336 = 720
Subtract 336 from both sides:
32
= 384
Divide both sides by 32:
= 12