Question

29°
(11x-65)°


Tried to solve it in different ways, but still got it wrong.

Answer 1

x = 17

Explanation:

As someone already pointed out in the comments, the triangle is isosceles, which means the triangle has two congruent sides and two equal angles. The angles apart from the congruent sides are equal so there are two angles measuring 29°.

Since we know that the sum of the angles inside a triangle is 180°, we can solve for x by summing up all the angles to 180 and solving for x:

`29+29+11x-65=180\\-7+11x=180\\11x=187\\x=17`

If you were to plug in 17 to check, you get

29 + 29 + (11*(17) - 65) = 180

58 + 122 = 180

180 = 180