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use the diagram to find the angle measures of the triangle. recall that…

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°. 5x° = (x + 5)° = x° =

Explanation:

Step1: Set up equation

$x+(x + 5)+5x=180$

Step2: Combine like - terms

$7x+5 = 180$

Step3: Solve for x

$7x=175$, so $x = 25$

Step4: Find angle measures

$x=25^{\circ}$, $x + 5=30^{\circ}$, $5x = 125^{\circ}$

Answer:

$x = 25^{\circ}$, $(x + 5)=30^{\circ}$, $5x=125^{\circ}$