Question

6 directions - find the value of x, then find the measure of the indicated angle. create an angle addition equation to solve. find x, then m∠kam m∠kal = 175° diagram with points k, a, l, m; angles ∠kam labeled 17x+8 and ∠lam labeled 17x-3 x = blank box m∠kam = blank box degrees.

Explanation:

Step1: Set up angle addition equation

The measure of $\angle KAL$ is the sum of $\angle KAM$ and $\angle MAL$. So, $(17x + 8)+(17x - 3)=175$.

Step2: Simplify and solve for x

Combine like terms: $34x + 5 = 175$. Subtract 5 from both sides: $34x = 170$. Divide by 34: $x = 5$.

Step3: Find $m\angle KAM$

Substitute $x = 5$ into $17x + 8$: $17(5)+8 = 85 + 8 = 93$.

Answer:

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