If a triangle has a 22° angle and a 46° angle, what can be established aboutythe third angle measure and the type of triangle? (1 point)
• The third angle measure is 68°
, 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 112°, and the triangle is an acute triangle.
• The third angle measure is 112°
, and the triangle is an obtuse Triangle
The third angle measure in a triangle can be found by subtracting the sum of the two given angles from 180 degrees.
So, the third angle measure would be 180° - (22° + 46°) = 112°.
Since the third angle measure is 112°, the triangle is an obtuse triangle.
Therefore, the correct answer is:
• The third angle measure is 112°
, and the triangle is an obtuse triangle.
To determine the third angle measure of a triangle, you can use the fact that the sum of the angles in any triangle is always 180°.
Step 1: Add the known angle measures together:
22° + 46° = 68°
Step 2: Subtract the sum from 180° to find the measure of the third angle:
180° - 68° = 112°
So, the correct answer is:
• The third angle measure is 112°, and the triangle is an acute triangle.
Note: An acute triangle is a triangle where all three angles are less than 90°, whereas an obtuse triangle has one angle greater than 90°.
To find the measure of the third angle in a triangle, subtract the sum of the given angle measures from 180°.
In this case, the third angle measure can be found using the equation:
Third angle measure = 180° - (22° + 46°)
Calculating this, we get:
Third angle measure = 180° - 68°
Therefore, the correct answer is:
• The third angle measure is 112°, and the triangle is an obtuse triangle.