Question

For 12-13, use the figure. A bike path crosses a road as shown. Solve for each indicated angle or variable.

I need help on 12 thank you

Answer 1

x=21° and ∠KMH=96°

Explanation:

From the given information that a bike path crosses a road and the given figure, we get

∠GMH=∠KMI=84°(Vertically opposite angles)

⇒4x=84°

⇒x=21°

therefore, the value of ∠GMH=4x=4(21)=84°

Now, ∠KMH+∠KMI=180°( Linear pair)

⇒∠KMH+84°=180°

⇒∠KMH=180-84

⇒∠KMH=96°

Thus, the value of ∠KMH is 96°