Use the properties of exterior angles of triangles to find angle b.
Angel a is 142
(1 point)
92
38
232
52
According to the properties of exterior angles of triangles, the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.
Given that angle a is 142, we can consider it as an exterior angle of triangle ABC. To find angle b, we can subtract the measure of angle a from 180 degrees (since the sum of angles in a triangle is 180 degrees), and then subtract the result from angle c (which we don't know) to find angle b.
180 - 142 = 38
So, angle b is 38 degrees. Therefore, the answer is 38.
To find angle b using the properties of exterior angles of triangles, we know that the sum of the measures of the exterior angles of any triangle is always 360 degrees.
Therefore, we can determine angle b by subtracting angle a from 360 degrees.
360 degrees - angle a = angle b
360 degrees - 142 degrees = angle b
Angle b = 218 degrees
So, the answer is 218.
To find angle b using the properties of exterior angles of triangles, we first need to understand the relationship between the exterior angle and the two interior angles opposite to it.
The sum of an exterior angle and its adjacent interior angles is always equal to 180 degrees. So, we can use this information to find angle b.
In this case, we know that angle a is 142 degrees. Angle b is the exterior angle that is adjacent to angle a. Therefore, we can form the equation:
angle a + angle b + interior angle = 180 degrees.
Substituting the given values:
142 + angle b + interior angle = 180.
However, we don't know the value of the interior angle. Therefore, we need more information to find angle b.