178k views
4 votes
If measure DEF = 3x + 1 and measure DEG = 5x + 19, find the value of x.

User Marinos
by
8.2k points

1 Answer

3 votes

Answer:

-9

Explanation:

To find the value of x, we can set the measures of angles DEF and DEG equal to each other since they are congruent.

Given:

Measure of angle DEF = 3x + 1

Measure of angle DEG = 5x + 19

Setting the two expressions equal to each other:

3x + 1 = 5x + 19

Next, we can solve for x by isolating the variable on one side of the equation.

Subtracting 3x from both sides:

1 = 2x + 19

Subtracting 19 from both sides:

-18 = 2x

Finally, we divide both sides of the equation by 2 to solve for x:

x = -9

Therefore, the value of x is -9.

User Itenyh
by
7.9k points

Related questions

asked Oct 21, 2021 166k views
Bikas Lin asked Oct 21, 2021
by Bikas Lin
8.0k points
1 answer
0 votes
166k views