Question

3. Triangle ABC has angle measures as shown.

Answer 1

x = 21 and ∠C = 136°

Explanation:

(a)

The sum of the 3 angles in a triangle = 180°, hence

x + x + 2 + 6x + 10 = 180

8x + 12 = 180 ( subtract 12 from both sides )

8x = 168 ( divide both sides by 8 )

x = 21

(b)

∠C = 6x + 10 = (6 × 21) + 10 = 126 + 10 = 136°

Answer 2

all angles add to 180 degrees bc it's a triangle, so you add like terms and solve for x. plug the value for x into angle c and you get the answer yay