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Subway · Answer 1 · 2023-03-20T03:58:55+0000

Given,

The measure of two angles of the triangle is 80 degree and 60 degree.

Required:

The measure of angle X.

As known that,

The sum of all interior angles of the triangle is 180 degree.

$\begin{gathered} \angle X+\angle Y+\angle Z=180^(\circ) \\ \operatorname{\angle}X+60^{\operatorname{\circ}}+80^{\operatorname{\circ}}=180^{\operatorname{\circ}} \\ \operatorname{\angle}X+140^{\operatorname{\circ}}=180^{\operatorname{\circ}} \\ \angle X=180^(\circ)-140^{\operatorname{\circ}} \\ \angle X=40^{\operatorname{\circ}} \end{gathered}$

Hence, the measure of angle X is 40 degree.

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