82.4k views
0 votes
PLSS HELP ASAP!!!!! 100 POINTS

PLSS HELP ASAP!!!!! 100 POINTS-example-1

2 Answers

2 votes

Answer: x=25

Explanation:

5x-5+2x+10=180

Combine like terms

7x+5=180

Subtract 5 from both sides

7x=175

Divide by 7

x=25

User Razi
by
7.8k points
2 votes

Answer:


\sf x =\Big[ 25\Big]

Explanation:

A linear pair is a pair of adjacent angles formed when two lines intersect. Linear pairs are always supplementary, meaning the sum of their measures is
\sf 180^\circ.

Given the angles
\sf 5x - 5 and
\sf 2x + 10, they form a linear pair.

Therefore, we can set up an equation:


\sf (5x - 5) + (2x + 10) = 180

Combine like terms:


\sf 7x + 5 = 180

Subtract 5 from both sides:


\sf 7x = 175

Divide by 7:


\sf x = (175)/(7)

Simplify:


\sf x = 25

Therefore, the value of x is 25.

User Ragesh Kr
by
8.1k points