Question

the measure of angle a is 5 times the measure of its supplement.
what is the measure of each angle?
enter your answers in the boxes.

the measure of angle a is \\(\square\\)°.

the measure of its supplement is \\(\square\\)°.

Explanation:

Step1: Define variables for angles

Let $x$ = measure of the supplement of $\angle A$, then $5x$ = measure of $\angle A$.

Step2: Use supplement angle property

Supplementary angles sum to $180^\circ$, so:
$$5x + x = 180^\circ$$

Step3: Simplify and solve for $x$

$$6x = 180^\circ$$
$$x = \frac{180^\circ}{6} = 30^\circ$$

Step4: Find measure of $\angle A$

$$5x = 5 \times 30^\circ = 150^\circ$$

Answer:

The measure of angle A is $150^\circ$.
The measure of its supplement is $30^\circ$.