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In the ​triangle XYZ​, the measure of ​∠XYZ​ is 104°, and the measure of ∠YZX is 19°. What is the measure of ∠ZXY?

User Jonbonazza
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4.6k points

2 Answers

7 votes

Answer:

57

Explanation:

User SaNiks
by
5.1k points
10 votes

Answer:

∠ZXY = 57°

Explanation:

According to angle sum property of a triangle, sum of all the angles of the triangle is
180°.

In ΔXYZ,

∠XYZ + ∠YZX + ∠ZXY = 180°

Put ∠XYZ = 104°, ∠YZX = 19°

104° + 19° + ∠ZXY = 180°

123° + ∠ZXY = 180°

∠ZXY = 180° - 123°

∠ZXY = 57°

Therefore,

∠ZXY = 57°

User BrTkCa
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5.0k points