Question

Please Help!! Thank you so much !! :)

Answer 1

x = 15

Explanation:

Isosceles triangle property:

In an isosceles triangle, the base angles are equal.

∠1 = (3x + 18)°

Now, ∠1 and 8x - 3 are linear pair and they add up to 180°.

∠1 + 8x - 3 =180

3x + 18 + 8x - 3 = 180

3x + 8x + 18 - 3 = 180

Combine like terms,

11x + 15 = 180

Subtract 15 from both sides,

11x = 180 - 15

11x = 165

Divide both sides by 11,

x = 165 ÷ 11

`\boxed{\bf x = 15}`