Question

what is the value of x?
28x+13°
23x
34°
write your answer as an integer or as a decimal rounded to the nearest tenth.
x =
submit

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle equals the sum of the two non-adjacent interior angles, so:
$$28x + 13 = 23x + 34$$

Step2: Isolate x terms

Subtract $23x$ from both sides:
$$28x - 23x + 13 = 34$$
$$5x + 13 = 34$$

Step3: Isolate constant terms

Subtract 13 from both sides:
$$5x = 34 - 13$$
$$5x = 21$$

Step4: Solve for x

Divide both sides by 5:
$$x = \frac{21}{5}$$
$$x = 4.2$$

Answer:

$x = 4.2$