Question

A triangle has one 30 angle an unknown angle and an angle with a measure that is twice the measure of the unknown angle using the triangle sum theorem write and equation to find the measures of the triangles unknown angles

Answer 1

The angle equation is 30+x+y=180 and y=2x; applying the triangle sum theorem, the angles will be 30°, 50°, and 100°.

What is angle?

When two straight lines or rays intersect at a shared terminal, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner." An angle is a figure in Plane Geometry generated by two rays or lines that share a common endpoint. "Angle" comes from the Latin word "angulus," which meaning "corner." The two rays are referred to as the sides of an angle, while the common terminus is referred to as the vertex.

Here,

Let x and y be the unknown angles.

30+x+y=180

y=2x

30+x+2x=180

3x=150

x=50°

y=2*50

=100°

The equation of angle is 30+x+y=180 and y=2x; The angles will be 30°, 50° and 100° using triangle sum theorem.

To know more about angles,

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