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)
O The third angle measure is 19 R^ = and the triangle is an obtuse triangle
O The third angle measure is 112 ^ - and the triangle is an acute triangle.
о The third angle measure is 112 deg and the triangle is an obtuse triangle.
o 68 ^ = The third angle measure is and the triangle is an obtuse triangle.
Answers: 1. The third angle measure is 112°, and the triangle is an obtuse triangle. 2. No, because there needs to be a third angle. 3. acute triangle 4. 52° 5. 38°
If a triangle has angles measuring 46 deg 51 and 83°, what type of triangle is it? (1 point)
O acute triangle
O night triangle
O obtuse triangle
small triangle
The correct answer is an acute triangle.
I
38°
H
J
What is the sum of the measures of the interior angles at vertex I and vertex J?
(1 point)
O 128
O 38
O 52
O 142 deg
4
To find the measure of the third angle in a triangle, you need to remember that the sum of the angles in any triangle is always 180 degrees.
So, you can calculate the measure of the third angle by subtracting the sum of the given angles from 180 degrees:
Third angle measure = 180 degrees - (22 degrees + 46 degrees) = 180 degrees - 68 degrees = 112 degrees.
Therefore, the third angle measure is 112 degrees.
To determine the type of triangle, you can use the properties of triangle angles:
An acute triangle has all angles less than 90 degrees. Since the third angle measures 112 degrees, it doesn't fit the criteria for an acute triangle.
An obtuse triangle has one angle greater than 90 degrees. Since the third angle measures 112 degrees, it does meet the criteria for an obtuse triangle.
So, the correct answer is: The third angle measure is 112 degrees, and the triangle is an obtuse triangle.
o The third angle measure is 112° - and the triangle is an acute triangle.
142°
a
b
Use the properties of exterior angles of triangles to find angle b
(1 point)
O 232
O38
O 92"
52"