Question

15 the supplement of an angle is twice the measurement of the angle. find the measurement of the smaller angle.

Explanation:

Step1: Define the unknown angle

Let the angle be $x$. Its supplement is $180^\circ - x$.

Step2: Set up the equation

Supplement equals twice the angle:
$180 - x = 2x$

Step3: Solve for $x$

Add $x$ to both sides:
$180 = 3x$
Divide by 3:
$x = \frac{180}{3} = 60$

Step4: Identify the smaller angle

The angle is $60^\circ$, its supplement is $120^\circ$, so the smaller angle is $60^\circ$.

Answer:

$60^\circ$