Use the properties of exterior angles of triangles to find angle b.
(1 point)
O 92
O38
232
52
We cannot determine the value of angle b without additional information about the triangle.
To find angle b, we need to use the property of the exterior angles of a triangle. The exterior angle is equal to the sum of the two remote interior angles. Therefore, we can set up the equation:
b = 92 + 38
Simplifying, we get:
b = 130
So, angle b is 130 degrees.
To find angle b using the properties of exterior angles of triangles, we need to first identify the given angles and their relationships to the exterior angle.
In a triangle, the measure of an exterior angle is equal to the sum of the measures of its two remote interior angles.
Let's call angle b the exterior angle. From the options given, the measure of angle b is 92 degrees.
Now, we need to find the measures of the two remote interior angles, which will eventually add up to 92 degrees.
To find the first interior angle, we subtract the measure of the exterior angle from 180 degrees (since the sum of all interior angles in a triangle is always 180 degrees).
180 - 92 = 88 degrees.
So, the first remote interior angle measures 88 degrees.
Next, we need to find the second remote interior angle. Since the sum of the interior angles in a triangle is 180 degrees, we can subtract the measure of the first remote interior angle from 180 degrees.
180 - 88 = 92 degrees.
Therefore, the second remote interior angle also measures 92 degrees.
To summarize:
Angle b (the exterior angle) measures 92 degrees.
The two remote interior angles measure 88 degrees and 92 degrees, respectively.