Question

What is the value of the missing angle in the triangle?

A) 156 Degrees
B) 66 Degrees
C) 142 Degrees
D) 150 Degrees

Answer 1

A) 156 Degrees

Explanation:

All angles in a triangle ALWAYS adds up to 180°.

Step 1: Set up equation

12° + 12° + x° = 180°

Step 2: Solve for x

1. Combine like terms: x° + 24° = 180°
2. Subtract 24° on both sides: x° = 156°

Step 3: Check

All angles should add up to 180°. Plug it in and check.

156° + 12° + 12° = 180°

156° + 24° = 180°

180° = 180°

Answer 2

A

Explanation:

We know that the sum of the interior angles of a triangle must equal 180°. So:

`(12)+(12)+x=180`

Solve for x. Add on the left:

`24+x=180`

Subtract 24 from both sides:

`x=156\textdegree`

Our answer is A.

And we're done!