In a triangle ABC, angle B is 3 times angle A and angle C is 8 degrees less than 6 times angle A.
The the size of the angles.
Size of angle A is =
Size of angle B is =
Size of angle C is =
can someone please help me with this..? I am very weak at geometry...and math in general, please let me know the best way to solve this problem... thank you I would really appreciate it
How do I find the missing angles??
I know that in triangles it is always 180 degrees but how do I figure out the missing angles?
show hat if AB is a ray the coordinate of A is {p:f(p)>0}
the triangular playground has angles whose measures are in the ration 5 : 6 : 4 what is the measure of the smallest angle?
48
To solve this problem, we need to set up equations based on the given information and then solve them. Here's how we can approach it:
Step 1: Set up the equations:
Let's assume that the measure of angle A is x degrees. Based on the given information, we can set up the following equations:
Angle B is 3 times angle A:
B = 3A
Angle C is 8 degrees less than 6 times angle A:
C = (6A) - 8
Step 2: Use the fact that the sum of angles in a triangle is 180 degrees:
The sum of the angles in a triangle is always 180 degrees. Therefore, we can write the equation:
A + B + C = 180
Step 3: Solve the equations:
Substitute the values of B and C from Step 1 into the equation from Step 2:
A + (3A) + ((6A) - 8) = 180
Combine like terms:
10A - 8 = 180
Add 8 to both sides:
10A = 188
Divide both sides by 10:
A = 18.8
Step 4: Find the measures of angles B and C:
Now that we know the measure of angle A, we can substitute this value into the equations from Step 1 to find the measures of angles B and C:
B = 3A
B = 3(18.8)
B = 56.4
C = (6A) - 8
C = (6 x 18.8) - 8
C = 112.8 - 8
C = 104.8
Therefore, the sizes of the angles are:
Size of angle A is 18.8 degrees.
Size of angle B is 56.4 degrees.
Size of angle C is 104.8 degrees.
Hope this helps!