Question

Consider the figure below. Find m∠HAE if m∠HAE=(3x+15)0 , m∠EAG=(2x+25)0 and m∠HAG=1300

the measure of angle HAE is

Answer 1

m(∠HAE) = 69°

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 =
`(90)/(5)`

x = 18

Since, m(HAE) = (3x + 15)

= 3(18) + 15

= 54 + 15

= 69°