Answer:
m(∠HAE) = 69°
Step-by-step explanation:
From the figure attached,
∠HAG = ∠HAE + ∠GAE
By substituting the values of the angles given in the picture,
130° = (3x + 15)° + (2x + 25)°
Now add the like terms.
(3x + 2x) + (15 + 25) = 130
5x + 40 = 130
5x = 130 - 40
5x = 90
x = [tex]\frac{90}{5}[/tex]
x = 18
Since, m(HAE) = (3x + 15)
= 3(18) + 15
= 54 + 15
= 69°
