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°

Answer 1

Answer:

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

Answer 2

Answer:

$\boxed{ \bold{ \sf{x = 25°}}}$

$\boxed{ \bold{ \sf{(x + 5) = 30°}}}$

$\boxed{ \bold{ \sf{5x = 125°}}}$

Step-by-step explanation:

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

Finding the value of x

$\sf{5x + x + x + 5 = 180°}$

Collect like terms

⇒$\sf{7x + 5 = 180}$

Move 5 to right hand side and change its sign

⇒$\sf{7x = 180 - 5}$

Subtract 5 from 180

⇒$\sf{7x = 175}$

Divide both sides of the equation by 7

⇒$\sf{ \frac{7x}{7} = \frac{175}{7} }$

Calculate

⇒$\sf{x = 25°}$

Finding the value of ( x + 5 )°

$\sf{x + 5}$

plug the value of x

⇒$\sf{25 + 5}$

Add the numbers

⇒$\sf{30°}$

Finding the value of 5x

$\sf{5 \times 25}$

Multiply the numbers

⇒$\sf{125°}$

Hope I helped!

Best regards!!