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+5)°=
5X°=

Step-by-step explanation:

We know that sum of angle of triangle adds up to 180°

Finding the value of x

Collect like terms

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Move 5 to right hand side and change its sign

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Subtract 5 from 180

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Divide both sides of the equation by 7

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Calculate

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Finding the value of ( x + 5 )°

plug the value of x

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Add the numbers

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Finding the value of 5x

Multiply the numbers

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x° = 25°

(x + 5)° = 30°

5x° = 125°

Step-by-step explanation:

total angle inside the triangle = 180 = x + (x+5) + 5x

180 = x + x + 5 + 5x

group like terms

7x + 5 = 180

subtract 5 each sides

7x = 175

x = 175/7

x = 25°

solve for : (x + 5)°

(x + 5)° = 25 + 5

(x + 5)° = 30°

solve for 5x°

5x° = 5 * 25

5x° = 125

check

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

180 = 25 + (25+5) + (5*25)

180 = 25 + 30 + 125

180 = 180