3. Triangle ABC has angle measures as shown.
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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
Answer:
x = 21 and ∠C = 136°
Step-by-step 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°