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

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

What is the value of the missing angle in the triangle A 156 Degrees B 66 Degrees C 142 Degrees D 150 Degrees class=

Respuesta :

xKelvin

Answer:

A

Step-by-step explanation:

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

[tex](12)+(12)+x=180[/tex]

Solve for x. Add on the left:

[tex]24+x=180[/tex]

Subtract 24 from both sides:

[tex]x=156\textdegree[/tex]

Our answer is A.

And we're done!

Space

Answer:

A) 156 Degrees

Step-by-step 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°

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