Question

use the diagram to find the angle measures of the triangle. recall that the sum of the angle measures of a triangle is 180°. x°=( )° (x + 9)°=( )° 7x°=( )°

Explanation:

Step1: Set up equation

$x+(x + 9)+7x=180$

Step2: Combine like - terms

$9x+9 = 180$

Step3: Isolate variable

$9x=180 - 9=171$
$x = 19$

Answer:

$x^{\circ}=19^{\circ}$
$(x + 9)^{\circ}=28^{\circ}$
$7x^{\circ}=133^{\circ}$