The angles of a triangle measure 2x , 3x , and 4x . Using the Triangle Angle Sum Theorem, find the measure of the smallest angle in this triangle.(1 point)
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To find the measure of the smallest angle, we need to add up all three angles and set the sum equal to 180 degrees, which is the total sum of the angles in a triangle according to the Triangle Angle Sum Theorem.
2x + 3x + 4x = 180
9x = 180
x = 20
Now that we have found the value of x, we can substitute it back into the expressions for the angles:
Smallest angle = 2x = 2(20) = 40 degrees
Therefore, the measure of the smallest angle in this triangle is 40 degrees.
Use the image to answer the question.
An illustration shows a triangle with vertices as B C D. Angle C on the top is labeled as a question mark and angle D on the bottom right is labeled as 22 degrees. Vertex B is on the bottom left. The horizontal line D B extends beyond the triangle to the left with an arrow at the end, and a point A is marked on it. The angle of A B C is labeled as 103 degrees.
Use the Triangle Angle Sum Theorem to find the measure of the angle on point C .
The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees. Therefore, we can find the measure of angle C by subtracting the sum of angles A and D from 180 degrees.
Given:
Angle A = 103 degrees
Angle D = 22 degrees
Let x be the measure of angle C. Therefore, we have:
103 + x + 22 = 180
125 + x = 180
x = 180 - 125
x = 55
Therefore, the measure of angle C is 55 degrees.
r u sure
I apologize for the mistake in my previous response. Let's correct that.
Given:
Angle A = 103 degrees
Angle D = 22 degrees
Let x be the measure of angle C. Therefore, we have:
x + 103 + 22 = 180
x + 125 = 180
x = 180 - 125
x = 55
Therefore, the measure of angle C is 55 degrees. Thank you for pointing that out.