Question

Angle sum theory

A) 3

B) 19

C) 12

D) 10

Answer 1

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

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}\\(6x)/(6)=(72)/(6)\\\boxed{x=12}`

Answer 2

Option C

The value of x is 12°

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