Answer:
∠ACB = 28.5
Step-by-step explanation:
In triangle ABC,
angle CAB = x-3
angle ABC = 4X-3
It is also given that AB=CB
We know that if two sides of any triangle are equal then corresponding sides must also be equal.
Hence
angle ACB = angle CAB
angle ACB = x-3 {Given that angle CAB = x-3 }
We know that sum of all three angles of a triangle is 180 degree so let's add given angles
angle ACB + angle CAB + angle ABC = 180
(x-3) + (x-3) + (4x-3) = 180
x-3 + x-3 + 4x-3 = 180
6x-9 = 180
6x = 180+9
6x = 189
x = 189/9
x= 31.5
Now plug value of x into
angle ACB = x-3 = 31.5-3 = 28.5
Hence final answer is
∠ACB = 28.5
Answer:
seems to easy to be true but the answer is 7/12 cause it's a fraction and it can't be simplified
Answer:
1st Blank: 5
2nd Blank: 3
3rd Blank: -8
4th Blank: -8
5th Blank: 12
Step-by-step explanation:
15x+35y=-100
-15x+9y=-252
___________
44y=-352
___ ___
44 44
y=-8
3x+7(-8)=-20
3x-56=-20
+56 +56
__________
3x=36
__ __
3 3
x=12
Answer:
That exterior angle is equal to 87 degrees.
Step-by-step explanation:
In order to find the measure of the exterior angle, we start by trying to find x. We can do this by adding up the 3 interior angles and setting them equal to 180. The first angle is equal to 43. The second angle is equal to x + 15. The third angle is equal to 180 - 3x (which we know because the angle and 3x is equal to 180). So we set equal to 180.
43 + (x + 15) + (180 - 3x) = 180 ----> Combine like terms.
238 - 2x = 180 -----> Subtract 238
-2x = -58 ----> Divide by -2
x = 29
Now that we have the x value, we can plug into the exterior angle measure to get the value.
3x = 3(29) = 87 degrees
