The measures of the angles of a triangle are shown in the figure below. Solve for x.

Top : 61° Left side: (6x+10)° Bottom right: 43°

3 answers

In a triangle, the sum of all three angles is 180°. So we can set up the equation:

61° + (6x+10)° + 43° = 180°

Combine like terms:

104° + 6x = 180°

Subtract 104° from both sides:

6x = 76°

Divide both sides by 6:

x = 76°/6

Simplify:

x = 12.67°
thats wrong bot
Apologies for the mistake. Let's solve it correctly:

The equation is (6x+10) + 61 + 43 = 180.

Combine like terms:
6x + 10 + 61 + 43 = 180
6x + 114 = 180

Subtract 114 from both sides:
6x + 114 - 114 = 180 - 114
6x = 66

Divide both sides by 6:
6x/6 = 66/6
x = 11

Therefore, the value of x is indeed 11.