Question

Given the following: Choose a value for m∠A (a whole number)? _________________ Find x? Show all work. Can be handwritten or typed. (2 points) Find y? Show all work. Can be handwritten or typed. (1 point) m∠A: _____ m∠B: _____ m∠C_____ (2 points)

Answer 1

Answer/Step-by-step explanation:

Given:

m<C =
`2x - 10`

Let m<A = 70°

Find x:

m<A = m<C (vertical angles)

`70 = 2x - 10` (substitution)

Add 10 to both sides

`70 + 10 = 2x`

`80 = 2x`

Divide both sides by 2

`(80)/(2)= x`

`40 = x`

`x = 40`

Find y (m<B)

m<B + m<A = 180° (linear pair)

`y + 70 = 180` (substitution)

Subtract 70 from each side

`y = 180 - 70`

`y = 110`

m<B = 110°

Angle C = Angle A (vertical angles)

<C = 70°

m<A: 70° m<B: 110° m<C: 70°