Question

find x, then m∠kam
m∠kal = 175°
(there is a diagram with points k, a, l on a line, and point m below a, with angles ∠kam labeled 17x+8 and ∠lam labeled 17x-3)
x =

m∠kam = degrees.

Explanation:

Step1: Set up angle sum equation

The sum of $\angle KAM$ and $\angle MAL$ equals $\angle KAL$, so:
$$(17x+8) + (17x-3) = 175$$

Step2: Simplify left side of equation

Combine like terms:
$$34x + 5 = 175$$

Step3: Isolate the term with $x$

Subtract 5 from both sides:
$$34x = 175 - 5$$
$$34x = 170$$

Step4: Solve for $x$

Divide both sides by 34:
$$x = \frac{170}{34}$$
$$x = 5$$

Step5: Calculate $m\angle KAM$

Substitute $x=5$ into $17x+8$:
$$m\angle KAM = 17(5) + 8$$
$$m\angle KAM = 85 + 8$$
$$m\angle KAM = 93$$

Answer:

$x = 5$
$m\angle KAM = 93$ degrees