contestada

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)

Given the following Choose a value for mA a whole number Find x Show all work Can be handwritten or typed 2 points Find y Show all work Can be handwritten or ty class=

Respuesta :

akposevictor

Answer/Step-by-step explanation:

Given:

m<C = [tex] 2x - 10 [/tex]

Let m<A = 70°

Find x:

m<A = m<C (vertical angles)

[tex] 70 = 2x - 10 [/tex] (substitution)

Add 10 to both sides

[tex] 70 + 10 = 2x [/tex]

[tex] 80 = 2x [/tex]

Divide both sides by 2

[tex] \frac{80}{2}= x [/tex]

[tex] 40 = x [/tex]

[tex] x = 40 [/tex]

Find y (m<B)

m<B + m<A = 180° (linear pair)

[tex] y + 70 = 180 [/tex] (substitution)

Subtract 70 from each side

[tex] y = 180 - 70 [/tex]

[tex] y = 110 [/tex]

m<B = 110°

Angle C = Angle A (vertical angles)

<C = 70°

m<A: 70° m<B: 110° m<C: 70°

Otras preguntas