Question

what are the measures of ∠1 and ∠2? explain. the measure of ∠1 is □ because it is related to one of the angles of the triangle by the (type an integer or a decimal. do not include the degree symbol in your answer.)

Explanation:

Step1: Identify the triangle type

The triangle is equilateral (all sides are equal). In an equilateral triangle, each interior angle is \(60\).

Step2: Analyze \(\angle1\)

\(\angle1\) and the interior angle of the triangle are supplementary (they form a linear - pair). Let the interior angle of the triangle be \(x = 60\). Using the linear - pair relationship \(\angle1+x = 180\). So \(\angle1=180 - 60=120\). The relationship is the linear - pair postulate.

Answer:

The measure of \(\angle1\) is \(120\) because it is related to one of the angles of the triangle by the linear - pair postulate.