Question

angles rtg and gtu are adjacent angles. if m∠rtg = 5.8° and m∠gtu = 113.6°, what is m∠rtu in degrees? enter the correct answer in the box.

Explanation:

Step1: Recall adjacent angles property

Adjacent angles that form a larger angle add up. So \( m\angle RTU = m\angle RTG + m\angle GTU \).

Step2: Substitute the given values

Substitute \( m\angle RTG = 5.8^\circ \) and \( m\angle GTU = 113.6^\circ \) into the formula: \( m\angle RTU = 5.8^\circ + 113.6^\circ \).

Step3: Calculate the sum

\( 5.8 + 113.6 = 119.4 \), so \( m\angle RTU = 119.4^\circ \).

Answer:

\( 119.4 \)