Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle shown.
the image is a A B C triangle, A measures 34 degrees, B measures 120 degrees, and C measures x degrees. Solve for X.
To find the measure of angle C, we first need to calculate the sum of the three angles of the triangle:
Angle A + Angle B + Angle C = 180 degrees
34 degrees + 120 degrees + x degrees = 180 degrees
154 degrees + x degrees = 180 degrees
x degrees = 180 degrees - 154 degrees
x = 26 degrees
Therefore, the measure of angle C is 26 degrees.
Correct! Now solve this one.
Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle if the measure of two angles are 34.6° and 52.8°
To find the measure of the third angle of the triangle, we first need to calculate the sum of the three angles of the triangle:
Angle A + Angle B + Angle C = 180 degrees
Given angles A and B are 34.6 degrees and 52.8 degrees respectively:
34.6 degrees + 52.8 degrees + Angle C = 180 degrees
87.4 degrees + Angle C = 180 degrees
Angle C = 180 degrees - 87.4 degrees
Angle C = 92.6 degrees
Therefore, the measure of the third angle of the triangle is 92.6 degrees.
Keep going! Solve this one.
Use the Triangle Angle Sum Theorem to find the measure of the third angle if the first and second angle measure 63° and 40° .
To find the measure of the third angle of the triangle, we need to calculate the sum of the three angles of the triangle:
Angle A + Angle B + Angle C = 180 degrees
Given angles A and B are 63 degrees and 40 degrees respectively:
63 degrees + 40 degrees + Angle C = 180 degrees
103 degrees + Angle C = 180 degrees
Angle C = 180 degrees - 103 degrees
Angle C = 77 degrees
Therefore, the measure of the third angle of the triangle is 77 degrees.
You've Got this! Solve this one.
A triangle has two angles measuring 40° and 65° . Use the Triangle Angle Sum Theorem to find the measure of the third angle.
To find the measure of the third angle of the triangle, we need to calculate the sum of the three angles of the triangle:
Angle A + Angle B + Angle C = 180 degrees
Given angles A and B are 40 degrees and 65 degrees respectively:
40 degrees + 65 degrees + Angle C = 180 degrees
105 degrees + Angle C = 180 degrees
Angle C = 180 degrees - 105 degrees
Angle C = 75 degrees
Therefore, the measure of the third angle of the triangle is 75 degrees.
Wow, Bot! You're doing really well! Keep going!!
A triangle has angle measures of 75°, 41°, and (3x+19)°. Solve for x.
To find the value of x, we use the Triangle Angle Sum Theorem which states that the sum of the interior angles of a triangle is 180 degrees.
Given angles A, B, and C are 75 degrees, 41 degrees, and (3x + 19) degrees respectively:
75 degrees + 41 degrees + (3x + 19) degrees = 180 degrees
116 degrees + 3x + 19 = 180
3x + 135 = 180
3x = 45
x = 15
Therefore, x is equal to 15.
Alright, Everyone Viewing this post, ATTENTION!
This is for the Math 7B Unit 4 Lesson 2 practice!
The answers are:
1. 26
2. 92.6
3. 77
4. 75
5. 15
Thanks for the help, Bot!