Question

S congruent to . If angle S is (5x-11) degrees and angle U is (4x+9) degrees, find the value of x.

Answer 1

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.

`m\angle S=m\angle U`

Put the given values.

`5x-11=4x+9`

Subtract 4x from both sides.

`5x-4x-11=9`

Add 11 on both sides.

`x=9+11`

`x=20`

Therefore, the value of x is 20.