Answer:
110
Step-by-step explanation:
Hello There!
If you didn't know the rule about angles in a triangle is that they have a sum of 180
So we can find the measure of the missing angle by subtracting the given angles (in this case 30 and 40) from 180
so the missing angle = 180 - 30 - 40
180 - 30 = 150
150 - 40 = 110
so the missing angle = 110
Answer:
A. EG = √3 × FG
D. EG = √3/2 × EF
E. EF = 2 × FG
Step-by-step explanation:
∵ tan 60 = √3
∵ tan60 = EG/GF
∴ EG/GF = √3
∴ EG = √3 × GF ⇒ A
∵ m∠F = 60°
∵ sin60 = √3/2
∵ sin 60 = EG/EF
∴ √3/2 = EG/EF
∴ EG = √3/2 × EF ⇒ D
∵ cos60 = 1/2
∵ cos60 = GF/EF
∴ GF/EF = 1/2
∴ EF = 2 × GF ⇒ E
Step-by-step explanation:
the two alternate interior angles are Angle GHE and DEH
