1) Find the area of the traingle
According to the question here we are given that the adjacent is 13 cm while the opposite is 10 cm
For this we need to use the general formula for getting the area
Area = ½ × adjacent × opposite
Hence, the area is 65 cm²
2) If m∠AOB = 32° and m∠BOC = 17°, find m∠AOC
Now, as per the diagram ∠AOB and ∠BOC together makes ∠AOC
So,
Hence, the answer is 49°
3) Find the measure of each angle and justify your work
m∠1 = x + 10°
m∠2 = 3x + 18°
According to the diagram we can observe that a ray is drawn between ∠1 and ∠2. So, we for gettin x we need to apply using linear pair [name of the theorem]
In linear pair two angles makes 180°
So, adding two angles we get 180° and from there we can get x
- x + 10° + 3x + 18° = 180°
So, if you need to get ∠1 and ∠2 here it's!
∠1 = x + 10° = 38° + 10° = 48°
∠2 = 3x + 18° = 3(38°) + 18° = 114° + 18° = 132°
4) AB + BC = AC is justified by which option below
Here the answer would be the third option
Segment Addition Postulate is the answer
5) What is the value of x ?
Here two lines are drawn and a line n which passes through l and m
So, on l we get 5x + 10
and on m we get 3x + 2
Now, as we can see that they are alternate angles
So, using the property we can get the value of x
As we know that alternate angles equal each other. So,
Hence, the value of x is -4 which is the last option
