Question

find the measure of the supplement of a \\(70^\circ\\) angle.

the measure of the supplement of a \\(70^\circ\\) angle is \\(\square^\circ\\).
(simplify your answer. type an integer or a decimal.)

Explanation:

Identify the given angle

The problem asks for the supplement of a given angle.
The measure of the given angle is \(70^\circ\).

Define supplementary angles

Two angles are supplementary if the sum of their measures is exactly \(180^\circ\).
Let \(x\) represent the measure of the supplement.
The relationship is:

$$x + 70^\circ = 180^\circ$$

Solve for the unknown angle

Subtract \(70^\circ\) from both sides to find the supplement:

$$x = 180^\circ - 70^\circ$$

$$x = 110^\circ$$

Answer:

The measure of the supplement of a \(70^\circ\) angle is <blank>110</blank>\(^\circ\).