Question

1. if an angle has a measure of 35°, then what is the measure of the supplement of this angle?

35°
55°
145°
180°
clear all

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^\circ\). So, if we have an angle \(x\), its supplement \(y\) satisfies the equation \(x + y=180^\circ\).

Step2: Substitute the given angle into the formula

We are given that the angle \(x = 35^\circ\). We need to find \(y\) (the supplement). Using the formula \(x + y=180^\circ\), we can solve for \(y\) by rearranging the equation: \(y = 180^\circ-x\).

Substitute \(x = 35^\circ\) into the equation: \(y=180^\circ - 35^\circ\).

Step3: Calculate the result

\(180^\circ- 35^\circ=145^\circ\).

Answer:

The measure of the supplement of the \(35^\circ\) angle is \(145^\circ\), so the correct option is the one with \(145^\circ\) (the third option: \(145^\circ\)).