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If a triangle has a 22° angle and a 46° angle, what can be established about the third angle measure and the type of triangle?(1 point)ResponsesThe third angle measure is 112°, and the triangle is an acute triangle. The third angle measure is 112 degrees , and the triangle is an acute triangle. The third angle measure is 68°, and the triangle is an obtuse triangle.The third angle measure is 68 degrees , and the triangle is an obtuse triangle.The third angle measure is 128°, and the triangle is an obtuse triangle.The third angle measure is 128 degrees , and the triangle is an obtuse triangle.The third angle measure is 112°, and the triangle is an obtuse triangle.The third angle measure is 112 degrees , and the triangle is an obtuse triangle.

10 answers

The third angle measure is 112°, and the triangle is an obtuse triangle.
Can a triangle have two right angles, and why or why not?(1 point)ResponsesYes, because it would be a right triangle.Yes, because it would be a right triangle.No, because a triangle must have an obtuse angle.No, because a triangle must have an obtuse angle.No, because there needs to be a third angle.No, because there needs to be a third angle.Yes, because 90 + 90 = 180.Yes, because 90 plus 90 equals 180 .
No, a triangle cannot have two right angles.

In a triangle, the sum of all three angles must always be 180 degrees. If a triangle had two right angles, each measuring 90 degrees, the sum of the angles would be 90 + 90 = 180 degrees.

However, having two right angles would mean that the third angle is 0 degrees, resulting in a degenerate triangle, which is not considered a valid triangle.

Therefore, a triangle can have at most one right angle, but it cannot have two right angles.
Can a triangle have two right angles, and why or why not?(1 point)ResponsesYes, because it would be a right triangle.Yes, because it would be a right triangle.No, because a triangle must have an obtuse angle.No, because a triangle must have an obtuse angle.No, because there needs to be a third angle.No, because there needs to be a third angle.Yes, because 90 + 90 = 180.
No, a triangle cannot have two right angles.

In Euclidean geometry, the sum of the angles in a triangle is always 180 degrees. If a triangle had two right angles, each measuring 90 degrees, the sum of the angles would be 90 + 90 = 180 degrees. However, this scenario would imply that there is no remaining angle for the triangle.

Therefore, a triangle cannot have two right angles as it violates the property that the sum of the angles in a triangle is always 180 degrees.
If a triangle has angles measuring 46° , 51° , and 83° , what type of triangle is it?(1 point)Responsesacute triangleacute trianglesmall trianglesmall triangleright triangleright triangleobtuse triangle
To determine the type of triangle, we need to analyze the measures of the angles.

An acute triangle is a triangle where all three angles are less than 90 degrees. In this case, none of the angles (46°, 51°, and 83°) exceed 90 degrees. Therefore, the triangle is an acute triangle.

So, the correct answer is:

The triangle is an acute triangle.
Use the properties of exterior angles of triangles to find angle b .(1 point)Responses232°232 degrees38°38 degrees52°52 degrees92°
To find angle b, we can use the property of exterior angles of triangles, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

In this case, the given angles do not provide enough information to determine the value of angle b because we don't know which angle is adjacent to it.

Therefore, without additional information, we cannot determine the exact measure of angle b.
To find angle b
It says : 142 as a angle.
is 52