Question

question 3 (18 points)
if (overline{hi}) and (overline{ji}) are tangent segments, what is the measure of (angle hji)?
the measurement of (angle hji=)______(^{circ})
blank 1:

Explanation:

Step1: Use the property of tangent - segment angle

The sum of an angle formed by two tangent segments and its adjacent angle is \(180^{\circ}\). Let \(\angle HJI=x\) and the given adjacent angle be \(46^{\circ}\).

Step2: Calculate \(\angle HJI\)

We know that \(x + 46^{\circ}=180^{\circ}\). Solving for \(x\), we get \(x=180^{\circ}- 46^{\circ}\). So \(x = 134^{\circ}\).

Answer:

134