Given
m
∥
n
m∥n, find the value of x.

66 or 66° if you need a degree symbol

Step-by-step explanation:

For same-side interior angle, both angles add up to 180°

WHY

If you notice x° side is equivalent to the same-side exterior or another angle that's next to 114°. 114° is also equivalent to the another angle beside x°. This is because m || n or line m is parallel to line n.

Hence, forming a supplementary that adds up to 180°.

___

Applying a theorem, we get:

114°+x°=180°

Subtract both sides by 114°

114°+x°-114°=180°-114°

x=66°

Therefore x=66° or x = 66 if not included the degree symbol.

answer: 0.26

i used the calculator on google

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²