Question

question 1 (1 point)
what is ( mwidehat{ij} )?
(there is a circle with center, and three radii to points j, h, i. the arc from j to h is 130°, the arc from i to h is 130°, and we need to find the measure of arc ij.)
= ______°
blank 1: input box

Explanation:

Step1: Recall circle angle sum

A full circle is \(360^\circ\).

Step2: Subtract known angles

Two arcs are \(130^\circ\) each. Let the unknown arc \(m\widehat{IJ}\) be \(x\). Then \(130 + 130 + x = 360\).
Simplify: \(260 + x = 360\).
Subtract 260: \(x = 360 - 260 = 100\).

Answer:

\(100\)