Vertical angles are equal
7x - 19 = 4x + 2
7x - 4x = 2 + 19
3x = 21
x = 21/3
x = 7
m∠ABC = 4x + 2 = 4*7 + 2 = 28 + 2 = 30°
Answer:
4
Step-by-step explanation:
Answer:
All angles in a triangle sum up to 180 degrees.
So, 63+71+x=180 degrees.
You add like terms: 134, and then add x.
134+x=180 degrees.
Minus x from both sides.
180-134=x.
What do you think x is?
We can solve for the length of side a to the nearest whole number using the Laws of Cosines such as the formula is shown below:
a²=b²+c²-2bcCosA
Solving for the value of a, we have:
a²=10²+14²-2(10)(14)cos54°
a²=131.42
a=11.46
The answer is 11.46 or 11.5.