Question

1. for any triangle, the sum of the measures of the three angles equals 180°. two of the angles in a triangle have the same measure, a, and the third angle measures 70°. which of the following equations could be used to determine the measure of a? a 2(a + 70) = 180 b 2a - 70 = 180 c a + 70 = 180 d 2a + 70 = 180

Explanation:

Step1: Use the angle - sum property of a triangle

The sum of the measures of the three angles of a triangle is \(180^{\circ}\). Let the two equal angles be \(a\) each and the third angle be \(70^{\circ}\).

Step2: Set up the equation

The sum of the three angles is \(a + a+70 = 180\). Combining like terms, we get \(2a+70 = 180\).

Answer:

D. \(2a + 70=180\)