Question

NO LINKS!! Please help me with this problem Part 4ee​

Answer 1

3. x = 4

4. x = 9

Explanation:

Exterior Angle Theorem

The exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

Question 3

Apply the Exterior Angle Theorem.

`\implies (11x-2)^(\circ)+(9x+1)^(\circ)=(19x+3)^(\circ)`

`\implies 11x-2+9x+1=19x+3`

`\implies 20x-1=19x+3`

`\implies 20x-1+1=19x+3+1`

`\implies 20x=19x+4`

`\implies 20x-19x=19x+4-19x`

`\implies x=4`

Question 4

Apply the Exterior Angle Theorem.

`\implies (7x+2)^(\circ)+(7x+2)^(\circ)=(17x-23)^(\circ)`

`\implies 7x+2+7x+2=17x-23`

`\implies 14x+4=17x-23`

`\implies 14x+4-4=17x-23-4`

`\implies 14x=17x-27`

`\implies 14x-17x=17x-27-17x`

`\implies -3x=-27`

`\implies x=9`