Question

Set up and solve an equation to find the measure of each missing angle.

Answer 1

Answer:

<A = 76°

<B = 63°

<C = 41°

Plug in the value of x

<C = 34 + 7

<C = 41°

Step-by-step explanation:

$63 + (2x + 8) + (x + 7) = 180$ (sum of ∆)

Solve for x

$63 + 2x + 8 + x + 7 = 180$

Add like terms

$78 + 3x = 180$

Subtract 78 from each side

$78 + 3x - 78 = 180 - 78$

$3x = 102$

Divide both sides by 3

x = 34

<A = 2x + 8

Plug in the value of x

<A = 2(34) + 8 = 76°

<B = 63°

<C = x + 7

Plug in the value of x

<C = 34 + 7

<C = 41°