Question

use the image below to find the requested values.
find the measure of ∠rfd.
what is the value of t?

Explanation:

Step1: Use the property of a straight - line angle

The sum of angles on a straight line is \(180^{\circ}\). So, \((t - 10)+58 = 180\).

Step2: Solve the equation for \(t\)

First, simplify the left - hand side of the equation: \(t-10 + 58=t + 48\). Then, we have the equation \(t + 48=180\). Subtract 48 from both sides: \(t=180 - 48\). So, \(t = 132\).

Step3: Find the measure of \(\angle RFD\)

Substitute \(t = 132\) into \((t - 10)\). Then \(\angle RFD=(132-10)^{\circ}\).

Answer:

The measure of \(\angle RFD\) is \(122^{\circ}\) and the value of \(t\) is \(132\).