Question

11
exterior angle theorem and
triangle sum theorem task cards
solve for x.
3x - 17
x + 40
2x - 5
©2016 math teachers math
your answer
only give number do not write m angle cab. *
exterior angle theorem and

Explanation:

Step1: Apply Triangle Sum Theorem

The sum of a triangle's interior angles is $180^\circ$, so set up the equation:
$$(x + 40) + (2x - 5) + (3x - 17) = 180$$

Step2: Combine like terms

Add the variable terms and constant terms separately:
$$(x+2x+3x) + (40-5-17) = 180$$
$$6x + 18 = 180$$

Step3: Isolate the variable term

Subtract 18 from both sides:
$$6x = 180 - 18$$
$$6x = 162$$

Step4: Solve for x

Divide both sides by 6:
$$x = \frac{162}{6}$$

Answer:

$27$