Given:
Consider angle S is congruent to angle U.
The angle S is (5x-11) degrees and angle U is (4x+9) degrees,
To find:
The value of x.
Solution:
Since it is given that angle S is congruent to angle U, therefore the measure of theses two angles are equal because measure of congruent angles are equal.
[tex]m\angle S=m\angle U[/tex]
Put the given values.
[tex]5x-11=4x+9[/tex]
Subtract 4x from both sides.
[tex]5x-4x-11=9[/tex]
Add 11 on both sides.
[tex]x=9+11[/tex]
[tex]x=20[/tex]
Therefore, the value of x is 20.
