Question

Find m∠USW if m∠USW = 7x - 34 and m∠TSR = 4x + 9.

Answer 1

In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .

First we have to find the relationship between those two angles .

And these angles are vertical opposite angles which are congruent .

Therefore

$m \angle USW = m \angle TSR$

$7x-34 = 4x+9 \\ 3x = 43 \\ x = 14.33$

Therefore measurement of angle USW is

$=7(14.33)-34 =66.31 degree$