Question

Solve for x and y. show your work.​

Answer 1

x = 5

y = 52

Explanation:

Since AB and AC are congruent, then angles A and C are also congruent. So, y = 52. And since all angles in a triangle add up to 180 degrees, you can set up the equation:

14x + 6 + 52 + 52 = 180

14x + 110 = 180

14x = 70

x = 5

Answer 2

• x = 5°
• y = 52°

Explanation:

AB=CB ⇒ ΔABC isosceles ⇒ ∠A ≅ ∠C ⇒

• y = 52°

∠A + ∠B + ∠C = 180°

• 52° + 14x + 6 + 52° = 180°
• 14x = 180° - 110°
• 14x = 70°
• x = 70/14
• x = 5°