Question

first, find m∠jqk. m∠jqk = \\(\square\\)°

Explanation:

Step1: Recall straight angle property

A straight angle is \(180^\circ\). The angles around point \(Q\) on a straight line should sum to \(180^\circ\).

Step2: Identify known angles

We know one angle is \(80^\circ\) and another is \(30^\circ\). Let \(m\angle JQK = x\). Then \(x + 80^\circ+ 30^\circ= 180^\circ\).

Step3: Solve for \(x\)

Simplify the equation: \(x + 110^\circ= 180^\circ\). Subtract \(110^\circ\) from both sides: \(x = 180^\circ - 110^\circ = 70^\circ\).

Answer:

70