Question

3 the sum of the measures of ∠swt and ∠twv is 90°. what is the value of m? a 54 b 23 c 14 d 8

Explanation:

Step1: Set up angle sum equation

We know $\angle SWT + \angle TWV = 90^\circ$, so substitute the given angles:
$36 + (6m + 6) = 90$

Step2: Simplify the left side

Combine constant terms:
$6m + 42 = 90$

Step3: Isolate the variable term

Subtract 42 from both sides:
$6m = 90 - 42$
$6m = 48$

Step4: Solve for m

Divide both sides by 6:
$m = \frac{48}{6}$

Answer:

D. 8