Answer :

The Angle ∠MTU from the figure is 65°

What are Angles?

The study of shapes and their measurements falls under the umbrella of geometry, a subfield of mathematics. It also emphasizes how the shapes are arranged in relation to one another and their spatial characteristics. We are aware that geometry is divided into 2D and 3D categories. All geometrical shapes are first created by the intersection of points, lines, rays, and plane surfaces. The distance measured between two lines is referred to as a "Angle" when the rays or lines converge at a single point.

Calculation:

Given,

STM=31X-3;

MTU=20X+5;

STU=155°;

From the figure we can say that

STU= STM+MTU;

⇒ 155=31x-3+20x+5;

⇒155=51x+2;

⇒x=3;

Now substitute x in MTU;

MTU=20(3)+5=65°

The Angle ∠MTU from the figure is 65°

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