QuestionAugust 27, 2025

If mangle X=34^circ and mangle Z=26^circ what is mangle Y mangle Y=26^circ mangle Y=34^circ mangle Y=60^circ mangle Y=120^circ

If mangle X=34^circ and mangle Z=26^circ what is mangle Y mangle Y=26^circ mangle Y=34^circ mangle Y=60^circ mangle Y=120^circ
If mangle X=34^circ  and mangle Z=26^circ  what is mangle Y
mangle Y=26^circ 
mangle Y=34^circ 
mangle Y=60^circ 
mangle Y=120^circ

Solution
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Answer

m\angle Y = 120^{\circ} Explanation 1. Identify the Triangle Type The problem involves angles of a triangle. The sum of angles in a triangle is **180^\circ**. 2. Calculate m\angle Y Use the formula: m\angle X + m\angle Y + m\angle Z = 180^\circ. Substitute known values: 34^\circ + m\angle Y + 26^\circ = 180^\circ. 3. Solve for m\angle Y Simplify: 60^\circ + m\angle Y = 180^\circ. Therefore, m\angle Y = 180^\circ - 60^\circ = 120^\circ.

Explanation

1. Identify the Triangle Type<br /> The problem involves angles of a triangle. The sum of angles in a triangle is **$180^\circ$**.<br /><br />2. Calculate $m\angle Y$<br /> Use the formula: $m\angle X + m\angle Y + m\angle Z = 180^\circ$. Substitute known values: $34^\circ + m\angle Y + 26^\circ = 180^\circ$.<br /><br />3. Solve for $m\angle Y$<br /> Simplify: $60^\circ + m\angle Y = 180^\circ$. Therefore, $m\angle Y = 180^\circ - 60^\circ = 120^\circ$.
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