Question

angle t has a measure between 0° and 360° and is coterminal with a -710° angle. what is the measure of angle t? 5° 10° 15° 20°

Explanation:

Step1: Determine the formula for coterminal angles

Coterminal angles can be found by the formula \(\theta + n\times360^{\circ}\), where \(n\) is an integer.

Step2: Find the value of \(n\)

We want to find \(n\) such that \(0^{\circ}< - 710^{\circ}+n\times360^{\circ}<360^{\circ}\).
Let's start with \(n = 3\) (by trial - and - error).

$$
LATEXBLOCK0
$$

Let \(n = 2\)

$$
LATEXBLOCK1
$$

Answer:

\(10^{\circ}\) (the second option)