The measure of exterior angle to ∠X is 79.38°. So, option 4 is correct.
What is meant by triangle?
Triangles are polygons because they have three vertices and three edges. This is one of the basic shapes in geometry.
In Euclidean geometry, any three non-collinear points determine a distinct triangle and a distinct plane (i.e. a two-dimensional Euclidean space). To put it another way, every triangle has a plane that it is contained in, and there is only one plane that contains every triangle. If and only if all geometry is the Euclidean plane, all triangles are contained in a single plane; however, this is no longer true in higher-dimensional Euclidean spaces. The topic of this article, unless otherwise stated, is triangles in Euclidean geometry, specifically the Euclidean plane.
Given,
In ΔXYZ, m∠Y=71.02° and m∠Z=29.6°
We know that,
The angles sum in a triangle is 180°.
m∠X+m∠Y+m∠Z=180°
m∠X+71.02°+29.6°=180°
m∠X=180°-100.62°
m∠X=79.38°
Therefore, the measure of exterior angle to ∠X is 79.38°.
So, option 4 is correct.
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