Question

ASAP HELP 100 POINTS I HAVE TO TURNE THIS IN TODAY Find the value of each variable. SHOW ALL THE WORK

Answer 1

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

Value of variable x is ~

`\boxed{ \boxed{65 \degree}}`

`\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}`

According to given figure, the two sides of the triangle are equal. therefore it's opposite angles will be equal as well !

that is ~

Both angles measure 25° and the central (non - equal) Angle among them is 2x (2 times the Angle x)

Now, let's use Angle sum property of Triangle to find the value of x ~

• 
  `2x + 25 + 25 = 180`

• 
  `2x + 50 = 180`

• 
  `2x = 180 - 50`

• 
  `2x = 130`

• 
  `x = 65 \degree`

Answer 2

65

Explanation:

The triangle is isosceles. That means that the Vertical line meets the base at right angles because the peak angle is bisected. we are to assume. So the left angle is given as 25 degrees. The base and vertical angle meet and 90 degrees and so we solve for x, because every triangle has 180 degrees.

x + 25 + 90 = 180 Combine the left.

x + 115 = 180 Subtract 115 from both sides

x = 180 - 115

x = 65