Question

find m∠zji if m∠kjz = x + 53, m∠kji = 176°, and m∠zji = x + 137. answer attempt 1 out of 3 ∠zji =

Explanation:

Step1: Use angle - addition postulate

We know that \(m\angle KJI=m\angle KJZ + m\angle ZJI\).
Substitute the given expressions: \(176=(x + 53)+(x + 137)\).

Step2: Simplify the right - hand side

Combine like terms: \(176=(x+x)+(53 + 137)\), so \(176 = 2x+190\).

Step3: Solve for \(x\)

Subtract 190 from both sides: \(176-190=2x\), which gives \(- 14 = 2x\). Then divide both sides by 2: \(x=-7\).

Step4: Find \(m\angle ZJI\)

Substitute \(x = - 7\) into the expression for \(m\angle ZJI\): \(m\angle ZJI=x + 137\). So \(m\angle ZJI=-7+137 = 130^{\circ}\).

Answer:

\(130\)