Given:
∠JEK + ∠DFH = 90°
Find:
relationship, if any, of ∠JEK to angles CFL, HFG, LFE
Solution:
We note that ∠DFG = 90° = ∠DFH + ∠HFG, so ∠JEK ≅∠HFG.
We also note that ∠HFG and ∠CFL are vertical angles, so ∠JEK ≅∠CFL.
And ∠LFE and ∠DFH are vertical angles, so ∠JEK + ∠LFE = 90°.
Evaluating the choices, we find
A) false. The angles are not complementary, they are equal.
B) false. The angles are not equal, they are complementary.
C) false. The angles are not supplementary, they are equal.
D) TRUE. The angles are equal.
The appropriate choice is ...
D) ∠JEK ≅∠CFL
Answer:
the opposite of -40 is 40
Answer: The width of the rectangle is 10.2 inches, the perimeter is 71.4 inches, the area is 260.1 inches.
Step-by-step explanation:
25.5/5=5.1
5.1*2=10.2
The width is 10.2 inches
25.5*2+10.2*2=71.4
The perimeter is 71.4 inches
20.5*10.2=260.1
The area is 260.1
Answer:1 1/14
Step-by-step explanation: