Question

Angle sum theory A) 3 B) 19 C) 12 D) 10

Answer 1

Answer:

$\huge\boxed{C)\ 12}$

Step-by-step explanation:

The three interior angles in a triangle will always add up to 180°.

Therefore

$59+(6x-10)+59=180\\(59+59-10)+6x=180\\108+6x=180\qquad|\text{subtract 108 from both sides}\\10-10+6x=180-108\\6x=72\qquad|\text{divide both sides by 6}\\\dfrac{6x}{6}=\dfrac{72}{6}\\\boxed{x=12}$

Answer 2

Answer:

Option C

The value of x is 12°

Step-by-step explanation:

Here, we know that in a Triangle The sum of all three angles is 180°.

Now,

59° + 59 + (6x - 10)° = 180°

118° + 6x - 10° = 180°

6x + 108° = 180°

6x = 180° - 108°

6x = 72°

x = 72° ÷ 6

x = 12°

Thus, The value of x is 12°

-TheUnknownScientist