Answer: 39 degrees
Step-by-step explanation: The angle sum of a triangle is 180 degrees so we take 102 from 180.
180-102=78
Since the two angles are the same then we just divide 78 by 2
78/2=39
Answer:
∠E ≈ 37°
Step-by-step explanation:
Using the Sine Rule in ΔEFG, that is
[tex]\frac{26}{sinE}[/tex] = [tex]\frac{42}{sin102}[/tex] ( cross- multiply )
42 × sinE = 26 × sin102° ( divide both sides by 42 )
sinE = [tex]\frac{26(sin102)}{42}[/tex] ≈ 0.6055..
E = [tex]sin^{-1}[/tex] (0.6055 ) ≈ 37°
