Answer:
m∠2 = 53°
Step-by-step explanation:
We will use two properties of a rhombus to solve this problem.
1). Opposite angles of a rhombus are equal.
2). Diagonals bisect the angles.
Since ∠JFG and ∠JHG are the opposite angles of the rhombus,
m∠JFG = m∠JHG
Since, diagonal FH bisect ∠JHG,
m∠FHJ = m∠GHF = m∠JFH = m∠GFH = 37°
In triangle JFH,
m∠FHJ + m∠JFH + m∠HJF = 180°
37° + 37° + m∠HJF = 180°
m∠HJF = 180 - 74
= 106°
Since, diagonal GJ bisects angle HJF,
m∠FJG =
= 53°
Therefore, m∠2 = 53°.
1) 2/5
2) 3/7
3) - 7/18
4) 3/5
5) - 5/18
6) 8/21
7) 2/5
8) -5
9) 9
10) 4 1/2
11) - 77/20
12) 6 10/21
By the way, to write questions 3,5 and 11, you write on the page,
(This is for Question 11)
77
- ----
20
There are 24 hours in a day.
Sleeping 8 out of those 24 hours means a fraction of 8/24.
8/24 = 4/12 = 2/6 = 1/3
So sleeping 8 hours a day means sleeping for 1/3 of the day.
I think the answer is B. Angle 2 and 7